91828944 has 80 divisors (see below), whose sum is σ = 272125440. Its totient is φ = 29617920.

The previous prime is 91828943. The next prime is 91828981. The reversal of 91828944 is 44982819.

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

It is a self number, because there is not a number n which added to its sum of digits gives 91828944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91828943) 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 15 ways as a sum of consecutive naturals, for example, 9964 + ... + 16820.

It is an arithmetic number, because the mean of its divisors is an integer number (3401568).

Almost surely, 2^91828944 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 91828944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

91828944 is an abundant number, since it is smaller than the sum of its proper divisors (180296496).

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

91828944 is a wasteful number, since it uses less digits than its factorization.

91828944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6893 counting only the distinct ones).

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

The square root of 91828944 is about 9582.7419875524. The cubic root of 91828944 is about 451.1557844857.

The spelling of 91828944 in words is "ninety-one million, eight hundred twenty-eight thousand, nine hundred forty-four".