282862272 has 336 divisors, whose sum is σ = 1003352832. Its totient is φ = 68290560.

The previous prime is 282862249. The next prime is 282862273. The reversal of 282862272 is 272268282.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×282862272² = 160022129842003968, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 282862272.

It is not an unprimeable number, because it can be changed into a prime (282862273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5336998 + ... + 5337050.

Almost surely, 2^282862272 is an apocalyptic number.

282862272 is a gapful number since it is divisible by the number (22) 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 282862272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501676416).

282862272 is an abundant number, since it is smaller than the sum of its proper divisors (720490560).

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

282862272 is a wasteful number, since it uses less digits than its factorization.

282862272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 282862272 is about 16818.5098031901. The cubic root of 282862272 is about 656.4349188091.

The spelling of 282862272 in words is "two hundred eighty-two million, eight hundred sixty-two thousand, two hundred seventy-two".