475728 has 80 divisors (see below), whose sum is σ = 1446336. Its totient is φ = 133120.

The previous prime is 475721. The next prime is 475729. The reversal of 475728 is 827574.

475728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 475728.

It is not an unprimeable number, because it can be changed into a prime (475721) by changing a digit.

475728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8950 + ... + 9002.

2⁴⁷⁵⁷²⁸ is an apocalyptic number.

475728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723168).

475728 is an abundant number, since it is smaller than the sum of its proper divisors (970608).

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

475728 is a wasteful number, since it uses less digits than its factorization.

475728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 86 counting only the distinct ones).

The product of its digits is 15680, while the sum is 33.

The square root of 475728 is about 689.7303821059. The cubic root of 475728 is about 78.0643781454.

It can be divided in two parts, 47 and 5728, that added together give a palindrome (5775).

The spelling of 475728 in words is "four hundred seventy-five thousand, seven hundred twenty-eight".