282968 has 32 divisors (see below), whose sum is σ = 629760. Its totient is φ = 116640.

The previous prime is 282959. The next prime is 282973. The reversal of 282968 is 869282.

It is a congruent number.

It is an unprimeable number.

282968 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1655 + ... + 1817.

It is an arithmetic number, because the mean of its divisors is an integer number (19680).

2²⁸²⁹⁶⁸ is an apocalyptic number.

282968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314880).

282968 is an abundant number, since it is smaller than the sum of its proper divisors (346792).

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

282968 is a wasteful number, since it uses less digits than its factorization.

282968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 282968 is about 531.9473658173. The cubic root of 282968 is about 65.6516695835.

The spelling of 282968 in words is "two hundred eighty-two thousand, nine hundred sixty-eight".