528952320 has 264 divisors, whose sum is σ = 1976026416. Its totient is φ = 130056192.

The previous prime is 528952301. The next prime is 528952327. The reversal of 528952320 is 23259825.

528952320 is a `hidden beast` number, since 5 + 289 + 52 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (528952327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598599 + ... + 599481.

Almost surely, 2^528952320 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 528952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988013208).

528952320 is an abundant number, since it is smaller than the sum of its proper divisors (1447074096).

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

528952320 is a wasteful number, since it uses less digits than its factorization.

528952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 528952320 is about 22998.9634549038. The cubic root of 528952320 is about 808.7336407677.

The spelling of 528952320 in words is "five hundred twenty-eight million, nine hundred fifty-two thousand, three hundred twenty".