92288 has 32 divisors (see below), whose sum is σ = 212160. Its totient is φ = 39168.

The previous prime is 92269. The next prime is 92297. The reversal of 92288 is 88229.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 92288.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92288.

It is an unprimeable number.

92288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 845 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (6630).

2⁹²²⁸⁸ 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 92288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106080).

92288 is an abundant number, since it is smaller than the sum of its proper divisors (119872).

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

92288 is a wasteful number, since it uses less digits than its factorization.

92288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 92288 is about 303.7894007368. The cubic root of 92288 is about 45.1906316241.

The spelling of 92288 in words is "ninety-two thousand, two hundred eighty-eight".