91228800 has 384 divisors, whose sum is σ = 350602560. Its totient is φ = 20643840.

The previous prime is 91228771. The next prime is 91228801. The reversal of 91228800 is 882219.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (91228801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2121579 + ... + 2121621.

Almost surely, 2^91228800 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 91228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175301280).

91228800 is an abundant number, since it is smaller than the sum of its proper divisors (259373760).

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

91228800 is a wasteful number, since it uses less digits than its factorization.

91228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 91228800 is about 9551.3768640966. The cubic root of 91228800 is about 450.1707993617.

The spelling of 91228800 in words is "ninety-one million, two hundred twenty-eight thousand, eight hundred".