564004528 has 80 divisors (see below), whose sum is σ = 1209297600. Its totient is φ = 253890560.

The previous prime is 564004523. The next prime is 564004601. The reversal of 564004528 is 825400465.

It is a super-2 number, since 2×564004528² = 636202215209005568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 564004493 and 564004502.

It is not an unprimeable number, because it can be changed into a prime (564004523) 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, 436908 + ... + 438196.

It is an arithmetic number, because the mean of its divisors is an integer number (15116220).

Almost surely, 2^564004528 is an apocalyptic number.

564004528 is a gapful number since it is divisible by the number (58) 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 564004528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604648800).

564004528 is an abundant number, since it is smaller than the sum of its proper divisors (645293072).

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

564004528 is a wasteful number, since it uses less digits than its factorization.

564004528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 564004528 is about 23748.7795054820. The cubic root of 564004528 is about 826.2171336133.

The spelling of 564004528 in words is "five hundred sixty-four million, four thousand, five hundred twenty-eight".