528552000 has 224 divisors, whose sum is σ = 1939991040. Its totient is φ = 140889600.

The previous prime is 528551971. The next prime is 528552023. The reversal of 528552000 is 255825.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214777 + ... + 217223.

Almost surely, 2^528552000 is an apocalyptic number.

528552000 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 528552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969995520).

528552000 is an abundant number, since it is smaller than the sum of its proper divisors (1411439040).

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

528552000 is a wasteful number, since it uses less digits than its factorization.

528552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 528552000 is about 22990.2588067207. The cubic root of 528552000 is about 808.5295682097.

The spelling of 528552000 in words is "five hundred twenty-eight million, five hundred fifty-two thousand".