91288000 has 56 divisors (see below), whose sum is σ = 226094544. Its totient is φ = 36512000.

The previous prime is 91287997. The next prime is 91288009. The reversal of 91288000 is 88219.

It is a self number, because there is not a number n which added to its sum of digits gives 91288000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91288009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2295 + ... + 13705.

Almost surely, 2^91288000 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 91288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113047272).

91288000 is an abundant number, since it is smaller than the sum of its proper divisors (134806544).

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

91288000 is a wasteful number, since it uses less digits than its factorization.

91288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11438 (or 11418 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 91288000 is about 9554.4753911452. The cubic root of 91288000 is about 450.2681529344.

The spelling of 91288000 in words is "ninety-one million, two hundred eighty-eight thousand".