91783328 has 96 divisors (see below), whose sum is σ = 227880576. Its totient is φ = 35417088.

The previous prime is 91783313. The next prime is 91783337. The reversal of 91783328 is 82338719.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124850 + ... + 125582.

It is an arithmetic number, because the mean of its divisors is an integer number (2373756).

Almost surely, 2^91783328 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 91783328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113940288).

91783328 is an abundant number, since it is smaller than the sum of its proper divisors (136097248).

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

91783328 is a wasteful number, since it uses less digits than its factorization.

91783328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 798 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The square root of 91783328 is about 9580.3615798152. The cubic root of 91783328 is about 451.0810682797.

The spelling of 91783328 in words is "ninety-one million, seven hundred eighty-three thousand, three hundred twenty-eight".