282827347968 has 384 divisors, whose sum is σ = 874783203840. Its totient is φ = 80408739840.

The previous prime is 282827347963. The next prime is 282827347969. The reversal of 282827347968 is 869743728282.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×282827347968² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 282827347899 and 282827347908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282827347963) 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, 82383180 + ... + 82386612.

It is an arithmetic number, because the mean of its divisors is an integer number (2278081260).

Almost surely, 2^282827347968 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 282827347968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437391601920).

282827347968 is an abundant number, since it is smaller than the sum of its proper divisors (591955855872).

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

282827347968 is a wasteful number, since it uses less digits than its factorization.

282827347968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3525 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 66.

The spelling of 282827347968 in words is "two hundred eighty-two billion, eight hundred twenty-seven million, three hundred forty-seven thousand, nine hundred sixty-eight".