282852864 has 320 divisors, whose sum is σ = 995174400. Its totient is φ = 77635584.

The previous prime is 282852847. The next prime is 282852877. The reversal of 282852864 is 468258282.

Its product of digits (491520) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3580377 + ... + 3580455.

It is an arithmetic number, because the mean of its divisors is an integer number (3109920).

Almost surely, 2^282852864 is an apocalyptic number.

282852864 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 282852864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497587200).

282852864 is an abundant number, since it is smaller than the sum of its proper divisors (712321536).

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

282852864 is an equidigital number, since it uses as much as digits as its factorization.

282852864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 282852864 is about 16818.2301090216. The cubic root of 282852864 is about 656.4276410527.

The spelling of 282852864 in words is "two hundred eighty-two million, eight hundred fifty-two thousand, eight hundred sixty-four".