28668121310304 has 480 divisors, whose sum is σ = 104700063283200. Its totient is φ = 7509473556480.

The previous prime is 28668121310299. The next prime is 28668121310329. The reversal of 28668121310304 is 40301312186682.

28668121310304 is a `hidden beast` number, since 2 + 8 + 6 + 6 + 8 + 1 + 21 + 310 + 304 = 666.

It is a super-2 number, since 2×28668121310304² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28668121310304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9345532 + ... + 12028100.

It is an arithmetic number, because the mean of its divisors is an integer number (218125131840).

Almost surely, 2^{28668121310304} is an apocalyptic number.

28668121310304 is a gapful number since it is divisible by the number (24) 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 28668121310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52350031641600).

28668121310304 is an abundant number, since it is smaller than the sum of its proper divisors (76031941972896).

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

28668121310304 is a wasteful number, since it uses less digits than its factorization.

28668121310304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682648 (or 2682631 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

Adding to 28668121310304 its reverse (40301312186682), we get a palindrome (68969433496986).

The spelling of 28668121310304 in words is "twenty-eight trillion, six hundred sixty-eight billion, one hundred twenty-one million, three hundred ten thousand, three hundred four".