How many words can be from ihbugtlet?

Twenty-seven, not counting "boggle", and using the TWL (the Scrabble dictionary) as the source:

beg

bel

blog

bo

bog

boggle

bogle

bole

egg

ego

el

gel

gleg

glob

globe

go

gob

leg

lo

lob

lobe

log

loge

obe

oe

ogle

ole