It is a requirement of certification that all light training aeroplanes do not show an strong tendency to enter a spin. It is also a requirement that if they will spin, they must recover from the longer of a 1-turn/3-second spin within no greater than one further turn when handled correctly. This includes spinning with flaps at all settings, gear down, etc. at entry BUT you are allowed to retract them during the recovery - if you're fast enough!
There is a concept called "spin resistance", which describes an aircraft that is not possible to get into a spin. Very few aircraft that I've ever come across met the stringent requirements for spin-resistance certification, although they do exist. I'm not aware that any PA28 variant falls into this category.
Of the dozen light aircraft I've run the certification of, there was only one which came out as spin-resistant, which was a French machine called the HM1000 Balerit.
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