472928 has 12 divisors (see below), whose sum is σ = 931140. Its totient is φ = 236448.

The previous prime is 472921. The next prime is 472937. The reversal of 472928 is 829274.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 14779 = 472928 / (4 + 7 + 2 + 9 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 472894 and 472903.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472928.

It is not an unprimeable number, because it can be changed into a prime (472921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7358 + ... + 7421.

It is an arithmetic number, because the mean of its divisors is an integer number (77595).

2⁴⁷²⁹²⁸ is an apocalyptic number.

It is an amenable number.

472928 is a deficient number, since it is larger than the sum of its proper divisors (458212).

472928 is a wasteful number, since it uses less digits than its factorization.

472928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14789 (or 14781 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 472928 is about 687.6976079644. The cubic root of 472928 is about 77.9109217583.

The spelling of 472928 in words is "four hundred seventy-two thousand, nine hundred twenty-eight".