Is all soap "antibacterial"?

I feel so stupid for asking this... I'm sorry. I was doing some meal prep, washing my hands after touching some ground sausage, and I realized the hand soap I keep in the kitchen doesn't say "antibacterial" anywhere. I (honestly!) bought this soap on clearance because the bottle is very cute and aesthetic, but now I'm scared its not safe! All thats printed on the front of the bottle is "hand soap" and some general instructions about use - is this soap adequately cleaning my hands after handling raw meat and eggs? Do I need to purchase a specific kind of hand soap for my bathroom and kitchen? Thank you so much in advance!:)