283128 has 32 divisors (see below), whose sum is σ = 725760. Its totient is φ = 92000.

The previous prime is 283121. The next prime is 283133. The reversal of 283128 is 821382.

283128 is a nontrivial binomial coefficient, being equal to C(753, 2).

It is a super-2 number, since 2×283128² = 160322928768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 283098 and 283107.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 283128.

It is not an unprimeable number, because it can be changed into a prime (283121) by changing a digit.

283128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1003 + ... + 1253.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2²⁸³¹²⁸ is an apocalyptic number.

283128 is the 752-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

283128 is an abundant number, since it is smaller than the sum of its proper divisors (442632).

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

283128 is a wasteful number, since it uses less digits than its factorization.

283128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 283128 is about 532.0977353833. The cubic root of 283128 is about 65.6640411684.

The spelling of 283128 in words is "two hundred eighty-three thousand, one hundred twenty-eight".