Google ETRTO if you want more information about wheel and tyre sizes, and what 584-19 actually means. Useful bedtime reading if you're having trouble sleeping.
More information needed. I believe 28mm is usually the minimum recommended for 19mm width rims but what kind of bike and what is it going to be used for?
Your previous posts suggest it's a mountain bike you're talking about so something in the region of 2" to 2.5" (around 50 to 65mm) is probably going to be more like it. Have a look at the info from Schwalbe here which should help.
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