28643408586000 has 960 divisors, whose sum is σ = 110777761436160. Its totient is φ = 6852161433600.

The previous prime is 28643408585993. The next prime is 28643408586071. The reversal of 28643408586000 is 68580434682.

28643408586000 is a `hidden beast` number, since 28 + 6 + 4 + 3 + 4 + 0 + 8 + 5 + 8 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11281372731 + ... + 11281375269.

It is an arithmetic number, because the mean of its divisors is an integer number (115393501496).

Almost surely, 2^{28643408586000} is an apocalyptic number.

28643408586000 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 28643408586000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55388880718080).

28643408586000 is an abundant number, since it is smaller than the sum of its proper divisors (82134352850160).

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

28643408586000 is a wasteful number, since it uses less digits than its factorization.

28643408586000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 28643408586000 in words is "twenty-eight trillion, six hundred forty-three billion, four hundred eight million, five hundred eighty-six thousand".