528608000 has 72 divisors (see below), whose sum is σ = 1316908320. Its totient is φ = 211430400.

The previous prime is 528607967. The next prime is 528608023. The reversal of 528608000 is 806825.

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23741 + ... + 40259.

Almost surely, 2^528608000 is an apocalyptic number.

528608000 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 528608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658454160).

528608000 is an abundant number, since it is smaller than the sum of its proper divisors (788300320).

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

528608000 is an equidigital number, since it uses as much as digits as its factorization.

528608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16550 (or 16526 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 528608000 is about 22991.4766815879. The cubic root of 528608000 is about 808.5581217275.

The spelling of 528608000 in words is "five hundred twenty-eight million, six hundred eight thousand".