282088 has 16 divisors (see below), whose sum is σ = 543780. Its totient is φ = 137088.

The previous prime is 282071. The next prime is 282089. The reversal of 282088 is 880282.

It can be written as a sum of positive squares in 2 ways, for example, as 272484 + 9604 = 522^2 + 98^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (282089) by changing a digit.

282088 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, 181 + ... + 772.

2²⁸²⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

282088 is a deficient number, since it is larger than the sum of its proper divisors (261692).

282088 is a wasteful number, since it uses less digits than its factorization.

282088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 282088 is about 531.1195722246. The cubic root of 282088 is about 65.5835423716.

It can be divided in two parts, 2820 and 88, that multiplied together give a triangular number (248160 = T₇₀₄).

The spelling of 282088 in words is "two hundred eighty-two thousand, eighty-eight".