89728800 has 288 divisors, whose sum is σ = 343728000. Its totient is φ = 20321280.

The previous prime is 89728799. The next prime is 89728861. The reversal of 89728800 is 882798.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823146 + ... + 823254.

It is an arithmetic number, because the mean of its divisors is an integer number (1193500).

Almost surely, 2^89728800 is an apocalyptic number.

89728800 is a gapful number since it is divisible by the number (80) 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 89728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171864000).

89728800 is an abundant number, since it is smaller than the sum of its proper divisors (253999200).

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

89728800 is a wasteful number, since it uses less digits than its factorization.

89728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 89728800 is about 9472.5287014609. The cubic root of 89728800 is about 447.6898895544.

The spelling of 89728800 in words is "eighty-nine million, seven hundred twenty-eight thousand, eight hundred".