564928 has 56 divisors (see below), whose sum is σ = 1393952. Its totient is φ = 221184.

The previous prime is 564923. The next prime is 564937. The reversal of 564928 is 829465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 564893 and 564902.

It is not an unprimeable number, because it can be changed into a prime (564923) by changing a digit.

564928 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 7 ways as a sum of consecutive naturals, for example, 5776 + ... + 5872.

It is an arithmetic number, because the mean of its divisors is an integer number (24892).

2⁵⁶⁴⁹²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696976).

564928 is an abundant number, since it is smaller than the sum of its proper divisors (829024).

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

564928 is a wasteful number, since it uses less digits than its factorization.

564928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 564928 is about 751.6169237052. The cubic root of 564928 is about 82.6667822868. Note that the first 3 decimals are identical.

The spelling of 564928 in words is "five hundred sixty-four thousand, nine hundred twenty-eight".