528072832 has 64 divisors (see below), whose sum is σ = 1243828800. Its totient is φ = 218502144.

The previous prime is 528072829. The next prime is 528072841. The reversal of 528072832 is 238270825.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 528072791 and 528072800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15823 + ... + 36145.

It is an arithmetic number, because the mean of its divisors is an integer number (19434825).

Almost surely, 2^528072832 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 528072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621914400).

528072832 is an abundant number, since it is smaller than the sum of its proper divisors (715755968).

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

528072832 is a wasteful number, since it uses less digits than its factorization.

528072832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20373 (or 20361 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 528072832 is about 22979.8353344840. The cubic root of 528072832 is about 808.2851654958.

The spelling of 528072832 in words is "five hundred twenty-eight million, seventy-two thousand, eight hundred thirty-two".