282882880 has 84 divisors (see below), whose sum is σ = 783636228. Its totient is φ = 96983040.

The previous prime is 282882863. The next prime is 282882881. The reversal of 282882880 is 88288282.

282882880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 47444544 + 235438336 = 6888^2 + 15344^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 282882880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282882881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6660 + ... + 24700.

Almost surely, 2^282882880 is an apocalyptic number.

282882880 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 282882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391818114).

282882880 is an abundant number, since it is smaller than the sum of its proper divisors (500753348).

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

282882880 is a wasteful number, since it uses less digits than its factorization.

282882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18072 (or 18055 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 46.

The square root of 282882880 is about 16819.1224503539. The cubic root of 282882880 is about 656.4508599975.

The spelling of 282882880 in words is "two hundred eighty-two million, eight hundred eighty-two thousand, eight hundred eighty".