527905728 has 224 divisors, whose sum is σ = 1867814400. Its totient is φ = 142829568.

The previous prime is 527905717. The next prime is 527905757. The reversal of 527905728 is 827509725.

It is a happy number.

527905728 is a `hidden beast` number, since 5 + 2 + 79 + 0 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228676 + ... + 230972.

Almost surely, 2^527905728 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 527905728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933907200).

527905728 is an abundant number, since it is smaller than the sum of its proper divisors (1339908672).

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

527905728 is a wasteful number, since it uses less digits than its factorization.

527905728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 527905728 is about 22976.1991634822. The cubic root of 527905728 is about 808.1998982589.

The spelling of 527905728 in words is "five hundred twenty-seven million, nine hundred five thousand, seven hundred twenty-eight".