282816 has 42 divisors (see below), whose sum is σ = 812292. Its totient is φ = 94080.

The previous prime is 282809. The next prime is 282827. The reversal of 282816 is 618282.

282816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 282816.

It is an unprimeable number.

282816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 331 + ... + 821.

2²⁸²⁸¹⁶ 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 282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406146).

282816 is an abundant number, since it is smaller than the sum of its proper divisors (529476).

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

282816 is a wasteful number, since it uses less digits than its factorization.

282816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 496 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 282816 is about 531.8044753478. The cubic root of 282816 is about 65.6399122574.

The spelling of 282816 in words is "two hundred eighty-two thousand, eight hundred sixteen".