92800 has 48 divisors (see below), whose sum is σ = 237150. Its totient is φ = 35840.

The previous prime is 92791. The next prime is 92801. The reversal of 92800 is 829.

92800 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 3 ways, for example, as 69696 + 23104 = 264^2 + 152^2 .

It is a super-2 number, since 2×92800² = 17223680000, which contains 22 as substring.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (92801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3186 + ... + 3214.

2⁹²⁸⁰⁰ 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 92800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118575).

92800 is an abundant number, since it is smaller than the sum of its proper divisors (144350).

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

92800 is a wasteful number, since it uses less digits than its factorization.

92800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 92800 is about 304.6309242346. The cubic root of 92800 is about 45.2740478385.

It can be divided in two parts, 9 and 2800, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 92800 in words is "ninety-two thousand, eight hundred".