283111920 has 480 divisors, whose sum is σ = 1218672000. Its totient is φ = 57286656.

The previous prime is 283111909. The next prime is 283111963. The reversal of 283111920 is 29111382.

283111920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1900006 + ... + 1900154.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2^283111920 is an apocalyptic number.

283111920 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 283111920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336000).

283111920 is an abundant number, since it is smaller than the sum of its proper divisors (935560080).

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

283111920 is a wasteful number, since it uses less digits than its factorization.

283111920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 283111920 is about 16825.9299891566. The cubic root of 283111920 is about 656.6279803481.

The spelling of 283111920 in words is "two hundred eighty-three million, one hundred eleven thousand, nine hundred twenty".