282893568768 has 288 divisors, whose sum is σ = 859170217920. Its totient is φ = 91782512640.

The previous prime is 282893568739. The next prime is 282893568779. The reversal of 282893568768 is 867865398282.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 282893568696 and 282893568705.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40894846 + ... + 40901762.

Almost surely, 2^282893568768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282893568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429585108960).

282893568768 is an abundant number, since it is smaller than the sum of its proper divisors (576276649152).

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

282893568768 is an equidigital number, since it uses as much as digits as its factorization.

282893568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7100 (or 7080 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 282893568768 in words is "two hundred eighty-two billion, eight hundred ninety-three million, five hundred sixty-eight thousand, seven hundred sixty-eight".