28256491468800 has 3456 divisors, whose sum is σ = 125051996160000. Its totient is φ = 6086629785600.

The previous prime is 28256491468783. The next prime is 28256491468837. The reversal of 28256491468800 is 886419465282.

28256491468800 is a `hidden beast` number, since 2 + 8 + 2 + 5 + 6 + 4 + 91 + 468 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 357677107161 + ... + 357677107239.

Almost surely, 2^{28256491468800} is an apocalyptic number.

28256491468800 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 28256491468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62525998080000).

28256491468800 is an abundant number, since it is smaller than the sum of its proper divisors (96795504691200).

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

28256491468800 is a wasteful number, since it uses less digits than its factorization.

28256491468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 28256491468800 in words is "twenty-eight trillion, two hundred fifty-six billion, four hundred ninety-one million, four hundred sixty-eight thousand, eight hundred".