It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 7 428 427 is not a prime number.
For example, 7 428 427 can be divided by 53: 7 428 427 / 53 = 140 159.
For 7 428 427 to be a prime number, it would have been required that 7 428 427 has only two divisors, i.e., itself and 1.
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7 428 427 is an odd number, because it is not evenly divisible by 2.
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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 7 428 427 is about 2 725.514.
Thus, the square root of 7 428 427 is not an integer, and therefore 7 428 427 is not a square number.
The square of a number (here 7 428 427) is the result of the product of this number (7 428 427) by itself (i.e., 7 428 427 × 7 428 427); the square of 7 428 427 is sometimes called "raising 7 428 427 to the power 2", or "7 428 427 squared".
The square of 7 428 427 is 55 181 527 694 329 because 7 428 427 × 7 428 427 = 7 428 4272 = 55 181 527 694 329.
As a consequence, 7 428 427 is the square root of 55 181 527 694 329.
The multiples of 7 428 427 are all integers evenly divisible by 7 428 427, that is all numbers such that the remainder of the division by 7 428 427 is zero. There are infinitely many multiples of 7 428 427. The smallest multiples of 7 428 427 are: