2162828287368 has 256 divisors, whose sum is σ = 7098138432000. Its totient is φ = 597346099200.

The previous prime is 2162828287357. The next prime is 2162828287381. The reversal of 2162828287368 is 8637828282612.

2162828287368 is a `hidden beast` number, since 2 + 16 + 282 + 8 + 287 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6597088 + ... + 6917168.

It is an arithmetic number, because the mean of its divisors is an integer number (27727103250).

Almost surely, 2^{2162828287368} is an apocalyptic number.

2162828287368 is a gapful number since it is divisible by the number (28) 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 2162828287368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549069216000).

2162828287368 is an abundant number, since it is smaller than the sum of its proper divisors (4935310144632).

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

2162828287368 is a wasteful number, since it uses less digits than its factorization.

2162828287368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320253 (or 320243 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 2162828287368 in words is "two trillion, one hundred sixty-two billion, eight hundred twenty-eight million, two hundred eighty-seven thousand, three hundred sixty-eight".