28664681783808 has 960 divisors, whose sum is σ = 93558176464896. Its totient is φ = 7769051136000.

The previous prime is 28664681783791. The next prime is 28664681783821. The reversal of 28664681783808 is 80838718646682.

It is a self number, because there is not a number n which added to its sum of digits gives 28664681783808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15320513113 + ... + 15320514983.

Almost surely, 2^{28664681783808} is an apocalyptic number.

28664681783808 is a gapful number since it is divisible by the number (28) 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 28664681783808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46779088232448).

28664681783808 is an abundant number, since it is smaller than the sum of its proper divisors (64893494681088).

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

28664681783808 is a wasteful number, since it uses less digits than its factorization.

28664681783808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 1189085184, while the sum is 75.

The spelling of 28664681783808 in words is "twenty-eight trillion, six hundred sixty-four billion, six hundred eighty-one million, seven hundred eighty-three thousand, eight hundred eight".