282048 has 56 divisors (see below), whose sum is σ = 810768. Its totient is φ = 86016.

The previous prime is 282019. The next prime is 282053. The reversal of 282048 is 840282.

It is a Smith number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 282048.

It is an unprimeable number.

282048 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, 2440 + ... + 2552.

It is an arithmetic number, because the mean of its divisors is an integer number (14478).

2²⁸²⁰⁴⁸ 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 282048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405384).

282048 is an abundant number, since it is smaller than the sum of its proper divisors (528720).

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

282048 is a wasteful number, since it uses less digits than its factorization.

282048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 282048 is about 531.0819145857. The cubic root of 282048 is about 65.5804423157.

The spelling of 282048 in words is "two hundred eighty-two thousand, forty-eight".