564028800 has 192 divisors, whose sum is σ = 1904409360. Its totient is φ = 146636800.

The previous prime is 564028789. The next prime is 564028819. The reversal of 564028800 is 8820465.

564028800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392884 + ... + 394316.

Almost surely, 2^564028800 is an apocalyptic number.

564028800 is a gapful number since it is divisible by the number (50) 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 564028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952204680).

564028800 is an abundant number, since it is smaller than the sum of its proper divisors (1340380560).

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

564028800 is a wasteful number, since it uses less digits than its factorization.

564028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 564028800 is about 23749.2905157186. The cubic root of 564028800 is about 826.2289855599.

The spelling of 564028800 in words is "five hundred sixty-four million, twenty-eight thousand, eight hundred".