283328 has 28 divisors (see below), whose sum is σ = 594360. Its totient is φ = 133632.

The previous prime is 283303. The next prime is 283369. The reversal of 283328 is 823382.

It is a d-powerful number, because it can be written as 2² + 8³ + 3⁶ + 3⁹ + 2⁸ + 8⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 283297 and 283306.

It is an unprimeable number.

283328 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 3 ways as a sum of consecutive naturals, for example, 1100 + ... + 1332.

2²⁸³³²⁸ 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 283328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297180).

283328 is an abundant number, since it is smaller than the sum of its proper divisors (311032).

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

283328 is a wasteful number, since it uses less digits than its factorization.

283328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 283328 is about 532.2856376045. The cubic root of 283328 is about 65.6794990969.

The spelling of 283328 in words is "two hundred eighty-three thousand, three hundred twenty-eight".