92488032 has 144 divisors (see below), whose sum is σ = 323799840. Its totient is φ = 24385536.

The previous prime is 92488031. The next prime is 92488043. The reversal of 92488032 is 23088429.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92488031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24444 + ... + 27972.

It is an arithmetic number, because the mean of its divisors is an integer number (2248610).

Almost surely, 2^92488032 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 92488032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161899920).

92488032 is an abundant number, since it is smaller than the sum of its proper divisors (231311808).

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

92488032 is a wasteful number, since it uses less digits than its factorization.

92488032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 92488032 is about 9617.0698240160. The cubic root of 92488032 is about 452.2325792889.

The spelling of 92488032 in words is "ninety-two million, four hundred eighty-eight thousand, thirty-two".