283083120 has 160 divisors (see below), whose sum is σ = 987436800. Its totient is φ = 74532096.

The previous prime is 283083083. The next prime is 283083161. The reversal of 283083120 is 21380382.

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

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, 178491 + ... + 180069.

It is an arithmetic number, because the mean of its divisors is an integer number (6171480).

Almost surely, 2^283083120 is an apocalyptic number.

283083120 is a gapful number since it is divisible by the number (20) 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 283083120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493718400).

283083120 is an abundant number, since it is smaller than the sum of its proper divisors (704353680).

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

283083120 is a wasteful number, since it uses less digits than its factorization.

283083120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1672 counting only the distinct ones).

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

The square root of 283083120 is about 16825.0741454533. The cubic root of 283083120 is about 656.6057140925.

The spelling of 283083120 in words is "two hundred eighty-three million, eighty-three thousand, one hundred twenty".