528960000 has 400 divisors, whose sum is σ = 1917511200. Its totient is φ = 129024000.

The previous prime is 528959989. The next prime is 528960007. The reversal of 528960000 is 69825.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 528960000.

It is not an unprimeable number, because it can be changed into a prime (528960007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18239986 + ... + 18240014.

It is an arithmetic number, because the mean of its divisors is an integer number (4793778).

Almost surely, 2^528960000 is an apocalyptic number.

528960000 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 528960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958755600).

528960000 is an abundant number, since it is smaller than the sum of its proper divisors (1388551200).

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

528960000 is an equidigital number, since it uses as much as digits as its factorization.

528960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 528960000 is about 22999.1304183441. The cubic root of 528960000 is about 808.7375548220.

The spelling of 528960000 in words is "five hundred twenty-eight million, nine hundred sixty thousand".