282382504768 has 112 divisors (see below), whose sum is σ = 691407816064. Its totient is φ = 111429457920.

The previous prime is 282382504667. The next prime is 282382504769. The reversal of 282382504768 is 867405283282.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282382504769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2251063 + ... + 2373193.

It is an arithmetic number, because the mean of its divisors is an integer number (6173284072).

Almost surely, 2^282382504768 is an apocalyptic number.

282382504768 is a gapful number since it is divisible by the number (28) 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 282382504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345703908032).

282382504768 is an abundant number, since it is smaller than the sum of its proper divisors (409025311296).

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

282382504768 is a wasteful number, since it uses less digits than its factorization.

282382504768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122560 (or 122550 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 55.

The spelling of 282382504768 in words is "two hundred eighty-two billion, three hundred eighty-two million, five hundred four thousand, seven hundred sixty-eight".