282115872 has 120 divisors (see below), whose sum is σ = 856703232. Its totient is φ = 90979200.

The previous prime is 282115837. The next prime is 282115891. The reversal of 282115872 is 278511282.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78597 + ... + 82107.

Almost surely, 2^282115872 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 282115872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428351616).

282115872 is an abundant number, since it is smaller than the sum of its proper divisors (574587360).

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

282115872 is a wasteful number, since it uses less digits than its factorization.

282115872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3547 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 282115872 is about 16796.3053080134. The cubic root of 282115872 is about 655.8570231728.

The spelling of 282115872 in words is "two hundred eighty-two million, one hundred fifteen thousand, eight hundred seventy-two".