"My phone has been going gangbusters ever since," bass player Matt Roberts said.
"It's been absolutely crazy. We hoped it would go a little bit viral, but it's been on TV all morning and the Prime Minister has bloody tweeted the link.
"It's been overwhelming."
Roberts filmed and produced the video while working at Parliament House as a cameraman for the ABC.
He says most of the politicians were keen to take part - though some were more natural performers than others.
"The best was probably Rob Oakshott - he really nailed the lip-syncing," Mr Roberts added.
Rudd filmed his segments while he was a humble backbench MP.
"Mr Rudd will be adding the song to his iPod soon," a spokesman for the Prime Minister said.
"He hopes his dancing didn't offend anyone."
- AAP