28688292256896 has 576 divisors, whose sum is σ = 90372902536800. Its totient is φ = 9045739929600.

The previous prime is 28688292256873. The next prime is 28688292256901. The reversal of 28688292256896 is 69865229288682.

28688292256896 is a `hidden beast` number, since 2 + 8 + 6 + 8 + 8 + 29 + 22 + 568 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×28688292256896² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17918982496 + ... + 17918984096.

Almost surely, 2^{28688292256896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28688292256896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45186451268400).

28688292256896 is an abundant number, since it is smaller than the sum of its proper divisors (61684610279904).

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

28688292256896 is an equidigital number, since it uses as much as digits as its factorization.

28688292256896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2748 counting only the distinct ones).

The product of its digits is 5733089280, while the sum is 81.

The spelling of 28688292256896 in words is "twenty-eight trillion, six hundred eighty-eight billion, two hundred ninety-two million, two hundred fifty-six thousand, eight hundred ninety-six".