282868824 has 64 divisors (see below), whose sum is σ = 814429440. Its totient is φ = 80196480.

The previous prime is 282868823. The next prime is 282868847. The reversal of 282868824 is 428868282.

It is a happy number.

It is a super-2 number, since 2×282868824² = 160029543182285952, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282868823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15582 + ... + 28434.

It is an arithmetic number, because the mean of its divisors is an integer number (12725460).

Almost surely, 2^282868824 is an apocalyptic number.

282868824 is a gapful number since it is divisible by the number (24) 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 282868824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407214720).

282868824 is an abundant number, since it is smaller than the sum of its proper divisors (531560616).

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

282868824 is a wasteful number, since it uses less digits than its factorization.

282868824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13000 (or 12996 counting only the distinct ones).

The product of its digits is 786432, while the sum is 48.

The square root of 282868824 is about 16818.7045874526. The cubic root of 282868824 is about 656.4399871513.

The spelling of 282868824 in words is "two hundred eighty-two million, eight hundred sixty-eight thousand, eight hundred twenty-four".