I have the E series or as Nikon call it, "Nikon Lens Series E", they are not Nikkors.
That said it is a very nice lens, reasonable performance and quite cheap.
I just measured it and it will stick out 35mm from your bayonet mount, which is smallish, but not too small.
If you intend to do critical colour work, I would possibly look at an alternative, but if you are mainly doing B&W work then the slight colour fringe one can see on a greatly enlarged print from a colour negative will not be a problem.
Whilst it is an f2.8 lens, it is a bit soft wide open, it works very well at f4 and at f5.6 it is really good.
I just measured the light outside which is cloudy bright, 1/125 @ f5.6 with 100 ASA is about where it's at, so with better weather or faster film for worse weather, you are already at the sweet spot of the lens.
The metal lens hood "Nikon HN-2" is the correct one for this lens. This lens hood is correct for both the 28 and 35 prime lenses and the Nikkor 35-70 zoom lens.
Whilst it can also be used on the 24mm lens, I don't as I get vignetting when it is placed on with a filter attached. As I use either Orange or yellow/green filters a lot this hood doesn't cut it for me on the 24mm.
I think you'll find it worthwhile getting the Series E 28mm, if you find that you are using this lens a lot you can usually sell it for what you paid and move upwards to the slightly better Nikkor models available.
Mick.