91456128 has 80 divisors (see below), whose sum is σ = 272202810. Its totient is φ = 30481920.

The previous prime is 91456121. The next prime is 91456147. The reversal of 91456128 is 82165419.

91456128 is a `hidden beast` number, since 91 + 4 + 561 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73410624 + 18045504 = 8568^2 + 4248^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 91456092 and 91456101.

It is not an unprimeable number, because it can be changed into a prime (91456121) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5958 + ... + 14778.

Almost surely, 2^91456128 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 91456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136101405).

91456128 is an abundant number, since it is smaller than the sum of its proper divisors (180746682).

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

91456128 is an equidigital number, since it uses as much as digits as its factorization.

91456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8847 (or 8826 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 91456128 is about 9563.2697337260. The cubic root of 91456128 is about 450.5444077792.

The spelling of 91456128 in words is "ninety-one million, four hundred fifty-six thousand, one hundred twenty-eight".