528400320 has 336 divisors, whose sum is σ = 2001438720. Its totient is φ = 117712896.

The previous prime is 528400319. The next prime is 528400343. The reversal of 528400320 is 23004825.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×528400320² = 558413796352204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2210761 + ... + 2210999.

Almost surely, 2^528400320 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 528400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000719360).

528400320 is an abundant number, since it is smaller than the sum of its proper divisors (1473038400).

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

528400320 is a wasteful number, since it uses less digits than its factorization.

528400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 528400320 is about 22986.9597815805. The cubic root of 528400320 is about 808.4522188363.

The spelling of 528400320 in words is "five hundred twenty-eight million, four hundred thousand, three hundred twenty".