282712880 has 80 divisors (see below), whose sum is σ = 684197280. Its totient is φ = 108509184.

The previous prime is 282712877. The next prime is 282712919. The reversal of 282712880 is 88217282.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540299 + ... + 540821.

It is an arithmetic number, because the mean of its divisors is an integer number (8552466).

Almost surely, 2^282712880 is an apocalyptic number.

282712880 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 282712880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342098640).

282712880 is an abundant number, since it is smaller than the sum of its proper divisors (401484400).

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

282712880 is a wasteful number, since it uses less digits than its factorization.

282712880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The square root of 282712880 is about 16814.0679194536. The cubic root of 282712880 is about 656.3193344129.

The spelling of 282712880 in words is "two hundred eighty-two million, seven hundred twelve thousand, eight hundred eighty".