91288768 has 56 divisors (see below), whose sum is σ = 195935600. Its totient is φ = 42052608.

The previous prime is 91288739. The next prime is 91288783. The reversal of 91288768 is 86788219.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43978 + ... + 46006.

It is an arithmetic number, because the mean of its divisors is an integer number (3498850).

Almost surely, 2^91288768 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 91288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97967800).

91288768 is an abundant number, since it is smaller than the sum of its proper divisors (104646832).

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

91288768 is a wasteful number, since it uses less digits than its factorization.

91288768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2087 counting only the distinct ones).

The product of its digits is 387072, while the sum is 49.

The square root of 91288768 is about 9554.5155816504. The cubic root of 91288768 is about 450.2694156230.

The spelling of 91288768 in words is "ninety-one million, two hundred eighty-eight thousand, seven hundred sixty-eight".