528080400 has 135 divisors (see below), whose sum is σ = 1837382989. Its totient is φ = 140453760.

The previous prime is 528080389. The next prime is 528080431. The reversal of 528080400 is 4080825.

The square root of 528080400 is 22980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 190108944 + 337971456 = 13788^2 + 18384^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1378609 + ... + 1378991.

Almost surely, 2^528080400 is an apocalyptic number.

528080400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

528080400 is the 22980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528080400

528080400 is an abundant number, since it is smaller than the sum of its proper divisors (1309302589).

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

528080400 is a wasteful number, since it uses less digits than its factorization.

528080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The cubic root of 528080400 is about 808.2890267516.

The spelling of 528080400 in words is "five hundred twenty-eight million, eighty thousand, four hundred".