It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 628 is not a prime number.
For example, 508 628 can be divided by 2: 508 628 / 2 = 254 314.
For 508 628 to be a prime number, it would have been required that 508 628 has only two divisors, i.e., itself and 1.
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508 628 is an even number, because it is evenly divisible by 2: 508 628 / 2 = 254 314.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 508 628 is about 713.182.
Thus, the square root of 508 628 is not an integer, and therefore 508 628 is not a square number.
The square of a number (here 508 628) is the result of the product of this number (508 628) by itself (i.e., 508 628 × 508 628); the square of 508 628 is sometimes called "raising 508 628 to the power 2", or "508 628 squared".
The square of 508 628 is 258 702 442 384 because 508 628 × 508 628 = 508 6282 = 258 702 442 384.
As a consequence, 508 628 is the square root of 258 702 442 384.
The multiples of 508 628 are all integers evenly divisible by 508 628, that is all numbers such that the remainder of the division by 508 628 is zero. There are infinitely many multiples of 508 628. The smallest multiples of 508 628 are: