282768 has 40 divisors (see below), whose sum is σ = 752928. Its totient is φ = 91392.

The previous prime is 282767. The next prime is 282769. The reversal of 282768 is 867282.

282768 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (282767) and next prime (282769).

It is not an unprimeable number, because it can be changed into a prime (282767) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1996 + ... + 2132.

2²⁸²⁷⁶⁸ 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 282768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376464).

282768 is an abundant number, since it is smaller than the sum of its proper divisors (470160).

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

282768 is a wasteful number, since it uses less digits than its factorization.

282768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 282768 is about 531.7593440646. The cubic root of 282768 is about 65.6361985424.

The spelling of 282768 in words is "two hundred eighty-two thousand, seven hundred sixty-eight".