564260328 has 144 divisors (see below), whose sum is σ = 1709082180. Its totient is φ = 167574528.

The previous prime is 564260303. The next prime is 564260339. The reversal of 564260328 is 823062465.

564260328 is a `hidden beast` number, since 5 + 6 + 42 + 603 + 2 + 8 = 666.

564260328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 535552164 + 28708164 = 23142^2 + 5358^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 564260292 and 564260301.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 441226 + ... + 442502.

Almost surely, 2^564260328 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 564260328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854541090).

564260328 is an abundant number, since it is smaller than the sum of its proper divisors (1144821852).

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

564260328 is a wasteful number, since it uses less digits than its factorization.

564260328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 564260328 is about 23754.1644348944. The cubic root of 564260328 is about 826.3420229176.

The spelling of 564260328 in words is "five hundred sixty-four million, two hundred sixty thousand, three hundred twenty-eight".