282880 has 72 divisors (see below), whose sum is σ = 772632. Its totient is φ = 98304.

The previous prime is 282869. The next prime is 282881. The reversal of 282880 is 88282.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 262144 = 144^2 + 512^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16632 + ... + 16648.

It is an arithmetic number, because the mean of its divisors is an integer number (10731).

2²⁸²⁸⁸⁰ is an apocalyptic number.

282880 is a gapful number since it is divisible by the number (20) 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 282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386316).

282880 is an abundant number, since it is smaller than the sum of its proper divisors (489752).

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

282880 is a wasteful number, since it uses less digits than its factorization.

282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 282880 is about 531.8646444350. The cubic root of 282880 is about 65.6448632238.

It can be divided in two parts, 282 and 880, that multiplied together give a triangular number (248160 = T₇₀₄).

The spelling of 282880 in words is "two hundred eighty-two thousand, eight hundred eighty".