282799289920 has 168 divisors, whose sum is σ = 785477655864. Its totient is φ = 96697810944.

The previous prime is 282799289893. The next prime is 282799289921. The reversal of 282799289920 is 29982997282.

It can be written as a sum of positive squares in 4 ways, for example, as 1144062976 + 281655226944 = 33824^2 + 530712^2 .

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (282799289921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5824464 + ... + 5872816.

Almost surely, 2^282799289920 is an apocalyptic number.

282799289920 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 282799289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392738827932).

282799289920 is an abundant number, since it is smaller than the sum of its proper divisors (502678365944).

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

282799289920 is a wasteful number, since it uses less digits than its factorization.

282799289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48757 (or 48740 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 67.

The spelling of 282799289920 in words is "two hundred eighty-two billion, seven hundred ninety-nine million, two hundred eighty-nine thousand, nine hundred twenty".