282288 has 20 divisors (see below), whose sum is σ = 729368. Its totient is φ = 94080.

The previous prime is 282287. The next prime is 282299. The reversal of 282288 is 882282.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 282288.

It is not an unprimeable number, because it can be changed into a prime (282281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2893 + ... + 2988.

2²⁸²²⁸⁸ is an apocalyptic number.

It is an amenable number.

282288 is an abundant number, since it is smaller than the sum of its proper divisors (447080).

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

282288 is a wasteful number, since it uses less digits than its factorization.

282288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892 (or 5886 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 282288 is about 531.3078203829. The cubic root of 282288 is about 65.5990382568.

The spelling of 282288 in words is "two hundred eighty-two thousand, two hundred eighty-eight".