92988 has 60 divisors (see below), whose sum is σ = 284592. Its totient is φ = 25920.

The previous prime is 92987. The next prime is 92993. The reversal of 92988 is 88929.

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

Its product of digits (10368) is a multiple of the sum of its prime factors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92987) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2248 + ... + 2288.

2⁹²⁹⁸⁸ 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 92988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142296).

92988 is an abundant number, since it is smaller than the sum of its proper divisors (191604).

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

92988 is a wasteful number, since it uses less digits than its factorization.

92988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 53 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 92988 is about 304.9393382298. The cubic root of 92988 is about 45.3046002082.

The spelling of 92988 in words is "ninety-two thousand, nine hundred eighty-eight".