283128960 has 128 divisors (see below), whose sum is σ = 907718400. Its totient is φ = 75063296.

The previous prime is 283128953. The next prime is 283128971. The reversal of 283128960 is 69821382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458572 + ... + 459188.

It is an arithmetic number, because the mean of its divisors is an integer number (7091550).

Almost surely, 2^283128960 is an apocalyptic number.

283128960 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 283128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453859200).

283128960 is an abundant number, since it is smaller than the sum of its proper divisors (624589440).

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

283128960 is a wasteful number, since it uses less digits than its factorization.

283128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 283128960 is about 16826.4363428505. The cubic root of 283128960 is about 656.6411538383.

The spelling of 283128960 in words is "two hundred eighty-three million, one hundred twenty-eight thousand, nine hundred sixty".