91839328 has 72 divisors (see below), whose sum is σ = 216149472. Its totient is φ = 38271744.

The previous prime is 91839283. The next prime is 91839361. The reversal of 91839328 is 82393819.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57225 + ... + 58807.

It is an arithmetic number, because the mean of its divisors is an integer number (3002076).

Almost surely, 2^91839328 is an apocalyptic number.

91839328 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91839328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108074736).

91839328 is an abundant number, since it is smaller than the sum of its proper divisors (124310144).

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

91839328 is a wasteful number, since it uses less digits than its factorization.

91839328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1629 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The square root of 91839328 is about 9583.2837795820. The cubic root of 91839328 is about 451.1727893823.

The spelling of 91839328 in words is "ninety-one million, eight hundred thirty-nine thousand, three hundred twenty-eight".