564400128 has 104 divisors (see below), whose sum is σ = 1571099328. Its totient is φ = 179863552.

The previous prime is 564400097. The next prime is 564400141. The reversal of 564400128 is 821004465.

It is a junction number, because it is equal to n+sod(n) for n = 564400095 and 564400104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281626 + ... + 283622.

Almost surely, 2^564400128 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 564400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785549664).

564400128 is an abundant number, since it is smaller than the sum of its proper divisors (1006699200).

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

564400128 is a wasteful number, since it uses less digits than its factorization.

564400128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 564400128 is about 23757.1068945695. The cubic root of 564400128 is about 826.4102615596.

The spelling of 564400128 in words is "five hundred sixty-four million, four hundred thousand, one hundred twenty-eight".