283872120 has 256 divisors, whose sum is σ = 1045923840. Its totient is φ = 60162048.

The previous prime is 283872089. The next prime is 283872131. The reversal of 283872120 is 21278382.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1470744 + ... + 1470936.

It is an arithmetic number, because the mean of its divisors is an integer number (4085640).

Almost surely, 2^283872120 is an apocalyptic number.

283872120 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 283872120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522961920).

283872120 is an abundant number, since it is smaller than the sum of its proper divisors (762051720).

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

283872120 is a wasteful number, since it uses less digits than its factorization.

283872120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 283872120 is about 16848.5049781872. The cubic root of 283872120 is about 657.2151715361.

The spelling of 283872120 in words is "two hundred eighty-three million, eight hundred seventy-two thousand, one hundred twenty".