99528000 has 448 divisors, whose sum is σ = 399409920. Its totient is φ = 21504000.

The previous prime is 99527941. The next prime is 99528007. The reversal of 99528000 is 82599.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99528007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3431986 + ... + 3432014.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 2^99528000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

99528000 is an abundant number, since it is smaller than the sum of its proper divisors (299881920).

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

99528000 is a wasteful number, since it uses less digits than its factorization.

99528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 99528000 is about 9976.3720860842. The cubic root of 99528000 is about 463.4274547272.

The spelling of 99528000 in words is "ninety-nine million, five hundred twenty-eight thousand".