It's still a little uncommon to use 24-hour format in English when talking about time, but I'd say it like this: "Seventeen thirty-five and twenty-eight seconds."

its more common to say it like that in the military than normal English.

Thanks Craig!

It depends, I'd be more inclined to say five thirty five and twenty eight seconds. But I suppose the 24 hour clock has been used for a specific reason, so I'd say it like Peachey.