28365660057600 has 468 divisors, whose sum is σ = 101978279278200. Its totient is φ = 7535990538240.

The previous prime is 28365660057593. The next prime is 28365660057617. The reversal of 28365660057600 is 675006656382.

It is a happy number.

28365660057600 is a `hidden beast` number, since 2 + 8 + 3 + 6 + 5 + 6 + 60 + 0 + 576 + 0 + 0 = 666.

It is a super-2 number, since 2×28365660057600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 247853191 + ... + 247967609.

It is an arithmetic number, because the mean of its divisors is an integer number (217902306150).

Almost surely, 2^{28365660057600} is an apocalyptic number.

28365660057600 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 28365660057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50989139639100).

28365660057600 is an abundant number, since it is smaller than the sum of its proper divisors (73612619220600).

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

28365660057600 is a wasteful number, since it uses less digits than its factorization.

28365660057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114728 (or 114698 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 28365660057600 in words is "twenty-eight trillion, three hundred sixty-five billion, six hundred sixty million, fifty-seven thousand, six hundred".