283392 has 72 divisors (see below), whose sum is σ = 858480. Its totient is φ = 92160.

The previous prime is 283369. The next prime is 283397. The reversal of 283392 is 293382.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×283392² = 160622051328, which contains 22 as substring.

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 Ulam number.

It is not an unprimeable number, because it can be changed into a prime (283397) by changing a digit.

283392 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 7 ways as a sum of consecutive naturals, for example, 6892 + ... + 6932.

283392 is a Friedman number, since it can be written as 82*(9+3)^3*2, using all its digits and the basic arithmetic operations.

2²⁸³³⁹² 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 283392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429240).

283392 is an abundant number, since it is smaller than the sum of its proper divisors (575088).

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

283392 is an equidigital number, since it uses as much as digits as its factorization.

283392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 283392 is about 532.3457523077. The cubic root of 283392 is about 65.6844440976.

The spelling of 283392 in words is "two hundred eighty-three thousand, three hundred ninety-two".