91967328 has 72 divisors (see below), whose sum is σ = 269994816. Its totient is φ = 29664000.

The previous prime is 91967327. The next prime is 91967339. The reversal of 91967328 is 82376919.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×91967328³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91967327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3778 + ... + 14078.

It is an arithmetic number, because the mean of its divisors is an integer number (3749928).

Almost surely, 2^91967328 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 91967328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134997408).

91967328 is an abundant number, since it is smaller than the sum of its proper divisors (178027488).

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

91967328 is a wasteful number, since it uses less digits than its factorization.

91967328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10348 (or 10337 counting only the distinct ones).

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

The square root of 91967328 is about 9589.9597496548. The cubic root of 91967328 is about 451.3822976962.

The spelling of 91967328 in words is "ninety-one million, nine hundred sixty-seven thousand, three hundred twenty-eight".