28168680009600 has 960 divisors, whose sum is σ = 113842842498000. Its totient is φ = 6816258293760.

The previous prime is 28168680009553. The next prime is 28168680009637. The reversal of 28168680009600 is 690008686182.

It is a happy number.

28168680009600 is a `hidden beast` number, since 28 + 1 + 6 + 8 + 6 + 8 + 0 + 0 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 198735556 + ... + 198877244.

Almost surely, 2^{28168680009600} is an apocalyptic number.

28168680009600 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 28168680009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56921421249000).

28168680009600 is an abundant number, since it is smaller than the sum of its proper divisors (85674162488400).

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

28168680009600 is a wasteful number, since it uses less digits than its factorization.

28168680009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141797 (or 141771 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 28168680009600 in words is "twenty-eight trillion, one hundred sixty-eight billion, six hundred eighty million, nine thousand, six hundred".