282948115680 has 192 divisors, whose sum is σ = 997880083200. Its totient is φ = 74876705280.

The previous prime is 282948115669. The next prime is 282948115687. The reversal of 282948115680 is 86511849282.

282948115680 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 481 + 156 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282948115687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315931 + ... + 815909.

It is an arithmetic number, because the mean of its divisors is an integer number (5197292100).

Almost surely, 2^282948115680 is an apocalyptic number.

282948115680 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 282948115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498940041600).

282948115680 is an abundant number, since it is smaller than the sum of its proper divisors (714931967520).

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

282948115680 is a wasteful number, since it uses less digits than its factorization.

282948115680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500134 (or 500120 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 282948115680 in words is "two hundred eighty-two billion, nine hundred forty-eight million, one hundred fifteen thousand, six hundred eighty".