91328328 has 192 divisors, whose sum is σ = 311351040. Its totient is φ = 23542272.

The previous prime is 91328327. The next prime is 91328339. The reversal of 91328328 is 82382319.

It is a happy number.

91328328 is a `hidden beast` number, since 9 + 1 + 328 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 91328292 and 91328301.

It is not an unprimeable number, because it can be changed into a prime (91328323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347125 + ... + 347387.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^91328328 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 91328328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

91328328 is an abundant number, since it is smaller than the sum of its proper divisors (220022712).

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

91328328 is a wasteful number, since it uses less digits than its factorization.

91328328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 341 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 91328328 is about 9556.5855827278. The cubic root of 91328328 is about 450.3344476675.

It can be divided in two parts, 913 and 28328, that added together give a square (29241 = 171²).

The spelling of 91328328 in words is "ninety-one million, three hundred twenty-eight thousand, three hundred twenty-eight".