$700K guaranteed satellite hand

[BlackAces]

Very late in a $5+rebuys satellite to the Stars $700K guaranteed on Sunday. 10 players get seats, 11th gets $210. 37 remain. I'm sitting on almost T28,000, the smallest stack at the table and 4th smallest overall. I've been card dead since being moved to this table, and haven't played a hand in two full orbits since the move. Blinds are at 1500/3000, 150 ante, 7-handed.

The hand:

Folded to CO-1, a medium stack with around 45K, who raises 4xBB. CO, button and SB fold. I'm in the BB with ATo, the best hand I've seen in half an hour.

Villain has not been active since I arrived at the table, only entering three pots, two of which were blind defenses. The third was won with a half-pot bet on the flop following a minimum preflop raise. He has not yet shown a hand down.

What is your action?