28 gauge is approximately .55 caliber. You can check the bore/caliber conversion chart at the top of the "Pre-Flintlock" section (immediately above this "Smoothbore" section on the forum menu).
Aren't the barrels on Senecas 13/16" in diameter? If so, that's pretty thin for that size bore. The fact it's a smoothbore doesn't change the fact that you'd be leaving, hmm (time for the calculator), barely 1/8" of metal at the thinnest portion of your barrel walls. Consider that most (I won't say all, since that will invite someone to point out that, A. such-and-such a brand of barrel was offered in a .75 caliber bore, with a 3/4" outside diameter; and, B. I'm an idiot and nothing I say henceforth is worth paying attention to, because I didn't know that :haha
commercial barrels in .54 caliber are a minimum of 15/16" at the breech; .50 calibers seldom go under 7/8". Even if you resolved to keep your loads very, very light, you'd have a gun that could never be passed on to another person, in good conscience