93283920 has 160 divisors (see below), whose sum is σ = 338371200. Its totient is φ = 23556096.

The previous prime is 93283909. The next prime is 93283933. The reversal of 93283920 is 2938239.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39904 + ... + 42176.

It is an arithmetic number, because the mean of its divisors is an integer number (2114820).

Almost surely, 2^93283920 is an apocalyptic number.

93283920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93283920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169185600).

93283920 is an abundant number, since it is smaller than the sum of its proper divisors (245087280).

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

93283920 is a wasteful number, since it uses less digits than its factorization.

93283920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 93283920 is about 9658.3601092525. The cubic root of 93283920 is about 453.5260762486.

The spelling of 93283920 in words is "ninety-three million, two hundred eighty-three thousand, nine hundred twenty".