472825728 has 64 divisors (see below), whose sum is σ = 1395502800. Its totient is φ = 157607424.

The previous prime is 472825711. The next prime is 472825747. The reversal of 472825728 is 827528274.

472825728 is a `hidden beast` number, since 4 + 72 + 8 + 2 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64951 + ... + 71862.

Almost surely, 2^472825728 is an apocalyptic number.

472825728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

472825728 is an abundant number, since it is smaller than the sum of its proper divisors (922677072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

472825728 is a wasteful number, since it uses less digits than its factorization.

472825728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136836 (or 136818 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 472825728 is about 21744.5562842749. The cubic root of 472825728 is about 779.0530520198.

The spelling of 472825728 in words is "four hundred seventy-two million, eight hundred twenty-five thousand, seven hundred twenty-eight".