91482719328 has 1728 divisors, whose sum is σ = 390003973632. Its totient is φ = 20692869120.

The previous prime is 91482719309. The next prime is 91482719329. The reversal of 91482719328 is 82391728419.

91482719328 is a `hidden beast` number, since 9 + 1 + 48 + 271 + 9 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91482719329) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1253187900 + ... + 1253187972.

It is an arithmetic number, because the mean of its divisors is an integer number (225696744).

Almost surely, 2^91482719328 is an apocalyptic number.

91482719328 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91482719328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195001986816).

91482719328 is an abundant number, since it is smaller than the sum of its proper divisors (298521254304).

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

91482719328 is a wasteful number, since it uses less digits than its factorization.

91482719328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

Subtracting from 91482719328 its reverse (82391728419), we obtain a palindrome (9090990909).

The spelling of 91482719328 in words is "ninety-one billion, four hundred eighty-two million, seven hundred nineteen thousand, three hundred twenty-eight".