528395904 has 96 divisors (see below), whose sum is σ = 1610015940. Its totient is φ = 165765120.

The previous prime is 528395897. The next prime is 528395929. The reversal of 528395904 is 409593825.

528395904 is a `hidden beast` number, since 5 + 28 + 39 + 590 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 525326400 + 3069504 = 22920^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 528395904.

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 11 ways as a sum of consecutive naturals, for example, 6094 + ... + 33074.

Almost surely, 2^528395904 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 528395904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805007970).

528395904 is an abundant number, since it is smaller than the sum of its proper divisors (1081620036).

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

528395904 is a wasteful number, since it uses less digits than its factorization.

528395904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27018 (or 27003 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 528395904 is about 22986.8637269202. The cubic root of 528395904 is about 808.4499666708.

The spelling of 528395904 in words is "five hundred twenty-eight million, three hundred ninety-five thousand, nine hundred four".