Push or Wait?

[bobbycharles]

PokerStars $3R Qualifier to $500,000 Tourney.
Top 33 win a seat. About 50 left.

Blinds are 1500/3000

Hero Big Blind T27,000; Villain Small Blind T56,000.
Read on Villain is he's not a bad player...slightly LAGish at this point. Has stolen a few blinds when presented with the opportunity. Got lucky with a multiway all in to get where he is.

Folds all around to Villain in SB who makes it 24000 to play.
Hero holding AT offsuit.

Question: Push or Fold?

Help me through the thought process. To me, it's an easy push as he's likely trying to steal. While I see AT pushed in this situation often, is it strong enough in reality? Range of hands to go against are any pair, any broadway, suited medium connectors and maybe Ax. What's my move?