91965328 has 80 divisors (see below), whose sum is σ = 222235776. Its totient is φ = 35896320.

The previous prime is 91965317. The next prime is 91965329. The reversal of 91965328 is 82356919.

It is a happy number.

It is a super-3 number, since 3×91965328³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (91965329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120468 + ... + 121228.

Almost surely, 2^91965328 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 91965328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111117888).

91965328 is an abundant number, since it is smaller than the sum of its proper divisors (130270448).

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

91965328 is a wasteful number, since it uses less digits than its factorization.

91965328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 866 counting only the distinct ones).

The product of its digits is 116640, while the sum is 43.

The square root of 91965328 is about 9589.8554733635. The cubic root of 91965328 is about 451.3790256243.

It can be divided in two parts, 919653 and 28, that added together give a square (919681 = 959²).

The spelling of 91965328 in words is "ninety-one million, nine hundred sixty-five thousand, three hundred twenty-eight".