28279618165568 has 336 divisors, whose sum is σ = 71133800693760. Its totient is φ = 10918330536960.

The previous prime is 28279618165559. The next prime is 28279618165571. The reversal of 28279618165568 is 86556181697282.

It is a happy number.

It is a super-2 number, since 2×28279618165568² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28279618165495 and 28279618165504.

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, 7483358303 + ... + 7483362081.

It is an arithmetic number, because the mean of its divisors is an integer number (211707740160).

Almost surely, 2^{28279618165568} is an apocalyptic number.

28279618165568 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 28279618165568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35566900346880).

28279618165568 is an abundant number, since it is smaller than the sum of its proper divisors (42854182528192).

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

28279618165568 is a wasteful number, since it uses less digits than its factorization.

28279618165568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5013 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 74.

The spelling of 28279618165568 in words is "twenty-eight trillion, two hundred seventy-nine billion, six hundred eighteen million, one hundred sixty-five thousand, five hundred sixty-eight".