52528000 has 192 divisors, whose sum is σ = 154187280. Its totient is φ = 17740800.

The previous prime is 52527997. The next prime is 52528031. The reversal of 52528000 is 82525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783967 + ... + 784033.

Almost surely, 2^52528000 is an apocalyptic number.

52528000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77093640).

52528000 is an abundant number, since it is smaller than the sum of its proper divisors (101659280).

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

52528000 is an equidigital number, since it uses as much as digits as its factorization.

52528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 52528000 is about 7247.6202991051. The cubic root of 52528000 is about 374.5101752847.

The spelling of 52528000 in words is "fifty-two million, five hundred twenty-eight thousand".