528007872 has 448 divisors, whose sum is σ = 1872691200. Its totient is φ = 127733760.

The previous prime is 528007859. The next prime is 528007919. The reversal of 528007872 is 278700825.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 528007872.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17032497 + ... + 17032527.

Almost surely, 2^528007872 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 528007872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936345600).

528007872 is an abundant number, since it is smaller than the sum of its proper divisors (1344683328).

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

528007872 is a wasteful number, since it uses less digits than its factorization.

528007872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 528007872 is about 22978.4218779271. The cubic root of 528007872 is about 808.2520208521.

The spelling of 528007872 in words is "five hundred twenty-eight million, seven thousand, eight hundred seventy-two".