Make it a function like this. I remove the "days" string as I have more uses without it in scripts. Also simplified seconds per day
dayssince () {
echo $((($(date +%s)-$(date +s --date "$1"))/(86400)))
}
You can put that in your ~/.bashrc or other scripts loaded from such to simply call
dayssince 1979-05-28
If you want the "days" string, can call
printf "%d days" $(dayssince 1979-05-28)