472728 has 16 divisors (see below), whose sum is σ = 1181880. Its totient is φ = 157568.

The previous prime is 472721. The next prime is 472741. The reversal of 472728 is 827274.

It is a junction number, because it is equal to n+sod(n) for n = 472695 and 472704.

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 472728.

It is not an unprimeable number, because it can be changed into a prime (472721) by changing a digit.

472728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9825 + ... + 9872.

2⁴⁷²⁷²⁸ is an apocalyptic number.

It is an amenable number.

472728 is an abundant number, since it is smaller than the sum of its proper divisors (709152).

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

472728 is a wasteful number, since it uses less digits than its factorization.

472728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19706 (or 19702 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 472728 is about 687.5521798380. The cubic root of 472728 is about 77.8999374355.

It can be divided in two parts, 47 and 2728, that added together give a triangular number (2775 = T₇₄).

The spelling of 472728 in words is "four hundred seventy-two thousand, seven hundred twenty-eight".