91484928 has 108 divisors (see below), whose sum is σ = 268642920. Its totient is φ = 29933568.

The previous prime is 91484927. The next prime is 91484929. The reversal of 91484928 is 82948419.

It is an interprime number because it is at equal distance from previous prime (91484927) and next prime (91484929).

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

It is not an unprimeable number, because it can be changed into a prime (91484927) 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 11 ways as a sum of consecutive naturals, for example, 135600 + ... + 136272.

Almost surely, 2^91484928 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 91484928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134321460).

91484928 is an abundant number, since it is smaller than the sum of its proper divisors (177157992).

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

91484928 is a wasteful number, since it uses less digits than its factorization.

91484928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 737 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 91484928 is about 9564.7753763484. The cubic root of 91484928 is about 450.5916957246.

The spelling of 91484928 in words is "ninety-one million, four hundred eighty-four thousand, nine hundred twenty-eight".