It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 428 729 is not a prime number.
For example, 428 729 can be divided by 7: 428 729 / 7 = 61 247.
For 428 729 to be a prime number, it would have been required that 428 729 has only two divisors, i.e., itself and 1.
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428 729 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 428 729 is about 654.774.
Thus, the square root of 428 729 is not an integer, and therefore 428 729 is not a square number.
The square of a number (here 428 729) is the result of the product of this number (428 729) by itself (i.e., 428 729 × 428 729); the square of 428 729 is sometimes called "raising 428 729 to the power 2", or "428 729 squared".
The square of 428 729 is 183 808 555 441 because 428 729 × 428 729 = 428 7292 = 183 808 555 441.
As a consequence, 428 729 is the square root of 183 808 555 441.
The multiples of 428 729 are all integers evenly divisible by 428 729, that is all numbers such that the remainder of the division by 428 729 is zero. There are infinitely many multiples of 428 729. The smallest multiples of 428 729 are: