282725248960 has 336 divisors, whose sum is σ = 866422821888. Its totient is φ = 86877235200.

The previous prime is 282725248943. The next prime is 282725248979. The reversal of 282725248960 is 69842527282.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12234537 + ... + 12257623.

Almost surely, 2^282725248960 is an apocalyptic number.

282725248960 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 282725248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433211410944).

282725248960 is an abundant number, since it is smaller than the sum of its proper divisors (583697572928).

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

282725248960 is a wasteful number, since it uses less digits than its factorization.

282725248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23200 (or 23183 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 282725248960 in words is "two hundred eighty-two billion, seven hundred twenty-five million, two hundred forty-eight thousand, nine hundred sixty".