564788528 has 80 divisors (see below), whose sum is σ = 1182781440. Its totient is φ = 260467200.

The previous prime is 564788527. The next prime is 564788537. The reversal of 564788528 is 825887465.

564788528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (4300800) is a multiple of the sum of its prime divisors (420).

It is a self number, because there is not a number n which added to its sum of digits gives 564788528.

It is not an unprimeable number, because it can be changed into a prime (564788527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2956913 + ... + 2957103.

It is an arithmetic number, because the mean of its divisors is an integer number (14784768).

Almost surely, 2^564788528 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 564788528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591390720).

564788528 is an abundant number, since it is smaller than the sum of its proper divisors (617992912).

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

564788528 is a wasteful number, since it uses less digits than its factorization.

564788528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 53.

The square root of 564788528 is about 23765.2798847394. The cubic root of 564788528 is about 826.5997867619.

The spelling of 564788528 in words is "five hundred sixty-four million, seven hundred eighty-eight thousand, five hundred twenty-eight".