528800 has 36 divisors (see below), whose sum is σ = 1292886. Its totient is φ = 211200.

The previous prime is 528799. The next prime is 528811. The reversal of 528800 is 8825.

It can be written as a sum of positive squares in 3 ways, for example, as 456976 + 71824 = 676^2 + 268^2 .

It is a plaindrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 470 + ... + 1130.

2⁵²⁸⁸⁰⁰ is an apocalyptic number.

528800 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 528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646443).

528800 is an abundant number, since it is smaller than the sum of its proper divisors (764086).

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

528800 is a wasteful number, since it uses less digits than its factorization.

528800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 528800 is about 727.1863585079. The cubic root of 528800 is about 80.8656004196.

The spelling of 528800 in words is "five hundred twenty-eight thousand, eight hundred".