90728800 has 144 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 33384960.

The previous prime is 90728789. The next prime is 90728809. The reversal of 90728800 is 882709.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90728809) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 714337 + ... + 714463.

It is an arithmetic number, because the mean of its divisors is an integer number (1666560).

Almost surely, 2^90728800 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 90728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

90728800 is an abundant number, since it is smaller than the sum of its proper divisors (149255840).

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

90728800 is a wasteful number, since it uses less digits than its factorization.

90728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 90728800 is about 9525.1666652085. The cubic root of 90728800 is about 449.3468714400.

The spelling of 90728800 in words is "ninety million, seven hundred twenty-eight thousand, eight hundred".