That leaves the Prime Minister with a net favourability score of +13.
YouGov says no prime minister has managed a better score on its political favourability tracker since May 2020, when Boris Johnson was still enjoying a surge in public support during the early stages of the Covid pandemic.
In fact, YouGov says that brief period under Johnson is the only time in the ten years it has been running the tracker that a serving prime minister has recorded a higher score than Burnham has now.
It is an unusually comfortable place for a British prime minister to find themselves.
Whether Burnham can stay there is another matter.
Burnham gets an early boost in Number 10
The change since last month is substantial.
YouGov’s first favourability poll of Burnham’s premiership, published in July, found 38% of people had a favourable opinion of him and 35% an unfavourable one.
His net score was therefore just +3.
A month later, his favourable rating has climbed eight points to 46%, while his unfavourable score has fallen slightly to 33%.
His government has extended the £2 bus fare cap through 2027, announced plans to remove time restrictions from disabled bus passes and backed the West Midlands taking public control of its bus network.
This week he also revealed that his new “No 10 North” operation in Manchester will take responsibility for economic growth away from the Treasury and lead work on tax devolution.
The strategy is giving voters plenty to judge him on.
So far, they appear to like what they’re seeing.
Farage’s numbers tell a very different story
The contrast with Nigel Farage is particularly striking.
Just 23% of Britons have a favourable opinion of the Reform UK leader, according to YouGov, compared with 67% who view him unfavourably.
That gives Farage a net rating of -44.
Farage remains a hugely influential figure with a committed political base, something demonstrated again by his comfortable victory in the recent Clacton by-election.
A politician can command enormous attention, dominate political debate and still struggle to persuade the wider electorate that they actually like him.
Burnham currently has the opposite advantage.
His favourable rating is twice Farage’s, while far fewer voters have a negative opinion of him.
That matters if the political contest between Labour and Reform increasingly becomes framed around Burnham and Farage personally.
Badenoch improves too
There is some better news for Conservative leader Kemi Badenoch.
Her net favourability rating now stands at -16, with 31% of Britons viewing her favourably and 47% unfavourably.
That’s still underwater, but her personal ratings have improved considerably compared with some of the numbers she was recording earlier in her leadership.
Badenoch also remains significantly less unpopular than Farage.
For the Conservatives, who have spent much of the past year squeezed between Labour and Reform, that could prove useful if they can convince voters on the right to take another look at the party.
Only 19% now view Polanski favourably, seven points lower than his peak in April.
Ed Davey remains relatively stable, with 26% holding a favourable opinion of the Liberal Democrat leader.
Burnham is comfortably ahead of all of them.
There is a catch for Burnham
Prime ministers tend to discover that popularity has a short shelf life.
Burnham has only been in Downing Street since July, meaning these numbers are being recorded before his government has had much time to accumulate the rows, broken promises and unpopular decisions that eventually weigh down almost every administration.
Boris Johnson’s 2020 rating provides a useful warning.
His popularity surged during the extraordinary opening stages of the pandemic before falling sharply as his government became engulfed in rows over its handling of Covid and, eventually, Partygate.
Burnham also inherited a Labour government rather than winning a general election as its leader.
He will eventually be judged on whether the early announcements coming from Downing Street make a noticeable difference to people’s lives.
The economy remains fragile, the government faces pressure over prisons and migration, and Burnham’s promises on public services and devolution will have to survive contact with the public finances.
But Labour would have struggled to imagine numbers like these only a few months ago.
Before Burnham entered Number 10, the party had been fighting Reform for the lead in national polling and Keir Starmer’s personal ratings had fallen deep into negative territory.
Burnham now finds himself in the unusual position of being a prime minister whom substantially more people like than dislike.
For the moment at least, the Burnham bounce is real.
The difficult part starts now: keeping it.