Yeah we have had an issue with several sites of ours with Easyblog on them being hit with spam posts and some of them, unfortunately, sending out the notifications to subscribers!
The ability to do this seemed to be down to the fact that REGISTERED users, by default, have the ability to create and publish blog posts so if the site config is also set to allow user registration and for the approval to come from the registrant rather than a site admin then technically a spammer can register themselves and create a post (even if there are no menu links etc to the create post pages).
What I've done now is set the ACL to not allow Registered users to post and also to turn off user registration by default as well as setting the account approval to ADMIN rather than USER. This obviously only works for sites which don't need registered users to be posting.