I'd think something in the neighborhood of ~320-600 grit would roughly emulate the factory 'brushed satin' look I'm familiar with, on the OTs I have (8OT, 108OT and two 25OTs; all in 1095 steel). Might start with the 320 to get an even scratch pattern overall. If that looks too coarse, it'll then be pretty easy to refine it by taking a step (or two) up in grit, in sequence (320 --> 400 --> 600). I wouldn't skip any grits in getting there. Assuming 1095 steel, it sands and grinds very easily on wet/dry paper, and shouldn't take too long. Even the stainless ones aren't too difficult to sand, though it may take just a little longer (440A, for the SCHRADE+ USA models).
Might consider using the paper wet, as this seems to keep swarf from clogging the paper too quickly, and also seems to result in a more even finish.
David