282817465920 has 896 divisors, whose sum is σ = 1111957217280. Its totient is φ = 67099484160.

The previous prime is 282817465913. The next prime is 282817465937. The reversal of 282817465920 is 29564718282.

282817465920 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 1 + 7 + 46 + 592 + 0 = 666.

It is a super-2 number, since 2×282817465920² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1634782954 + ... + 1634783126.

It is an arithmetic number, because the mean of its divisors is an integer number (1241023680).

Almost surely, 2^282817465920 is an apocalyptic number.

282817465920 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 282817465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555978608640).

282817465920 is an abundant number, since it is smaller than the sum of its proper divisors (829139751360).

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

282817465920 is a wasteful number, since it uses less digits than its factorization.

282817465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 282817465920 in words is "two hundred eighty-two billion, eight hundred seventeen million, four hundred sixty-five thousand, nine hundred twenty".