282859788640 has 576 divisors, whose sum is σ = 831947397120. Its totient is φ = 89915105280.

The previous prime is 282859788637. The next prime is 282859788647. The reversal of 282859788640 is 46887958282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282859788647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1183513641 + ... + 1183513879.

It is an arithmetic number, because the mean of its divisors is an integer number (1444353120).

Almost surely, 2^282859788640 is an apocalyptic number.

282859788640 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 282859788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415973698560).

282859788640 is an abundant number, since it is smaller than the sum of its proper divisors (549087608480).

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

282859788640 is a wasteful number, since it uses less digits than its factorization.

282859788640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 67.

The spelling of 282859788640 in words is "two hundred eighty-two billion, eight hundred fifty-nine million, seven hundred eighty-eight thousand, six hundred forty".