91963728 has 80 divisors (see below), whose sum is σ = 265578240. Its totient is φ = 30468096.

The previous prime is 91963709. The next prime is 91963733. The reversal of 91963728 is 82736919.

91963728 is a `hidden beast` number, since 9 + 1 + 9 + 637 + 2 + 8 = 666.

It is a super-3 number, since 3×91963728³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

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, 82825 + ... + 83927.

It is an arithmetic number, because the mean of its divisors is an integer number (3319728).

Almost surely, 2^91963728 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 91963728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132789120).

91963728 is an abundant number, since it is smaller than the sum of its proper divisors (173614512).

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

91963728 is a wasteful number, since it uses less digits than its factorization.

91963728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1301 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 91963728 is about 9589.7720515141. The cubic root of 91963728 is about 451.3764079325.

The spelling of 91963728 in words is "ninety-one million, nine hundred sixty-three thousand, seven hundred twenty-eight".