91828352 has 120 divisors (see below), whose sum is σ = 234086175. Its totient is φ = 35777280.

The previous prime is 91828343. The next prime is 91828357. The reversal of 91828352 is 25382819.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 45914176 + 45914176 = 6776^2 + 6776^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6776.

It is a Duffinian number.

Its product of digits (34560) is a multiple of the sum of its prime divisors (20).

It is not an unprimeable number, because it can be changed into a prime (91828357) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8348027 + ... + 8348037.

Almost surely, 2^91828352 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 91828352

91828352 is an abundant number, since it is smaller than the sum of its proper divisors (142257823).

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

91828352 is an frugal number, since it uses more digits than its factorization.

91828352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 20 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The square root of 91828352 is about 9582.7110986401. The cubic root of 91828352 is about 451.1548149846.

The spelling of 91828352 in words is "ninety-one million, eight hundred twenty-eight thousand, three hundred fifty-two".