564528 has 40 divisors (see below), whose sum is σ = 1537600. Its totient is φ = 177984.

The previous prime is 564523. The next prime is 564533. The reversal of 564528 is 825465.

564528 = 117² + 118² + ... + 148².

It is an interprime number because it is at equal distance from previous prime (564523) and next prime (564533).

It is a junction number, because it is equal to n+sod(n) for n = 564495 and 564504.

It is not an unprimeable number, because it can be changed into a prime (564523) by changing a digit.

564528 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, 603 + ... + 1221.

It is an arithmetic number, because the mean of its divisors is an integer number (38440).

2⁵⁶⁴⁵²⁸ 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 564528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768800).

564528 is an abundant number, since it is smaller than the sum of its proper divisors (973072).

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

564528 is a wasteful number, since it uses less digits than its factorization.

564528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 643 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 564528 is about 751.3507835891. The cubic root of 564528 is about 82.6472668085.

It can be divided in two parts, 564 and 528, that multiplied together give a palindrome (297792).

The spelling of 564528 in words is "five hundred sixty-four thousand, five hundred twenty-eight".