92448 has 48 divisors (see below), whose sum is σ = 272160. Its totient is φ = 30528.

The previous prime is 92431. The next prime is 92459. The reversal of 92448 is 84429.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92448.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 811 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁹²⁴⁴⁸ 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 92448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080).

92448 is an abundant number, since it is smaller than the sum of its proper divisors (179712).

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

92448 is a wasteful number, since it uses less digits than its factorization.

92448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 92448 is about 304.0526270237. The cubic root of 92448 is about 45.2167322604.

The spelling of 92448 in words is "ninety-two thousand, four hundred forty-eight".