528988320 has 600 divisors, whose sum is σ = 2306018484. Its totient is φ = 113799168.

The previous prime is 528988307. The next prime is 528988351. The reversal of 528988320 is 23889825.

528988320 is a `hidden beast` number, since 528 + 98 + 8 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 525876624 + 3111696 = 22932^2 + 1764^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 31116952 + ... + 31116968.

Almost surely, 2^528988320 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 528988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153009242).

528988320 is an abundant number, since it is smaller than the sum of its proper divisors (1777030164).

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

528988320 is an equidigital number, since it uses as much as digits as its factorization.

528988320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 528988320 is about 22999.7460855549. The cubic root of 528988320 is about 808.7519875698.

The spelling of 528988320 in words is "five hundred twenty-eight million, nine hundred eighty-eight thousand, three hundred twenty".