528829920 has 72 divisors (see below), whose sum is σ = 1804637016. Its totient is φ = 141020928.

The previous prime is 528829879. The next prime is 528829927. The reversal of 528829920 is 29928825.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×528829920² = 559322168574412800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528829927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182182 + ... + 185061.

It is an arithmetic number, because the mean of its divisors is an integer number (25064403).

Almost surely, 2^528829920 is an apocalyptic number.

It is an amenable number.

528829920 is an abundant number, since it is smaller than the sum of its proper divisors (1275807096).

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

528829920 is a wasteful number, since it uses less digits than its factorization.

528829920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367264 (or 367253 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 528829920 is about 22996.3023114587. The cubic root of 528829920 is about 808.6712554132.

The spelling of 528829920 in words is "five hundred twenty-eight million, eight hundred twenty-nine thousand, nine hundred twenty".