283984128 has 162 divisors, whose sum is σ = 859617486. Its totient is φ = 90157056.

The previous prime is 283984121. The next prime is 283984157. The reversal of 283984128 is 821489382.

It can be written as a sum of positive squares in only one way, i.e., 205979904 + 78004224 = 14352^2 + 8832^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (283984121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1218700 + ... + 1218932.

Almost surely, 2^283984128 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 283984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429808743).

283984128 is an abundant number, since it is smaller than the sum of its proper divisors (575633358).

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

283984128 is a wasteful number, since it uses less digits than its factorization.

283984128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 261 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 283984128 is about 16851.8286248110. The cubic root of 283984128 is about 657.3015997455.

The spelling of 283984128 in words is "two hundred eighty-three million, nine hundred eighty-four thousand, one hundred twenty-eight".