428782684225 has 81 divisors (see below), whose sum is σ = 632177944923. Its totient is φ = 287657610240.

The previous prime is 428782684207. The next prime is 428782684237. The reversal of 428782684225 is 522486287824.

The square root of 428782684225 is 654815.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 217557877761 + 211224806464 = 466431^2 + 459592^2 .

It is not a de Polignac number, because 428782684225 - 2⁹ = 428782683713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 428782684225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1214681649 + ... + 1214682001.

Almost surely, 2^428782684225 is an apocalyptic number.

428782684225 is the 654815-th square number.

428782684225 is the 327408-th centered octagonal number.

It is an amenable number.

428782684225 is a deficient number, since it is larger than the sum of its proper divisors (203395260698).

428782684225 is an frugal number, since it uses more digits than its factorization.

428782684225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 418 counting only the distinct ones).

The product of its digits is 27525120, while the sum is 58.

The spelling of 428782684225 in words is "four hundred twenty-eight billion, seven hundred eighty-two million, six hundred eighty-four thousand, two hundred twenty-five".