564522528 has 96 divisors (see below), whose sum is σ = 1569758400. Its totient is φ = 177140736.

The previous prime is 564522523. The next prime is 564522559. The reversal of 564522528 is 825225465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (564522521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314658 + ... + 316446.

It is an arithmetic number, because the mean of its divisors is an integer number (16351650).

Almost surely, 2^564522528 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 564522528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784879200).

564522528 is an abundant number, since it is smaller than the sum of its proper divisors (1005235872).

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

564522528 is a wasteful number, since it uses less digits than its factorization.

564522528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1986 counting only the distinct ones).

The product of its digits is 192000, while the sum is 39.

The square root of 564522528 is about 23759.6828261658. The cubic root of 564522528 is about 826.4699977288.

The spelling of 564522528 in words is "five hundred sixty-four million, five hundred twenty-two thousand, five hundred twenty-eight".