28633686866664 has 256 divisors, whose sum is σ = 80457734972160. Its totient is φ = 8416493568000.

The previous prime is 28633686866593. The next prime is 28633686866683. The reversal of 28633686866664 is 46666868633682.

It is a super-2 number, since 2×28633686866664² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 28633686866664.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5266446954 + ... + 5266452390.

It is an arithmetic number, because the mean of its divisors is an integer number (314288027235).

Almost surely, 2^{28633686866664} is an apocalyptic number.

28633686866664 is a gapful number since it is divisible by the number (24) 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 28633686866664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40228867486080).

28633686866664 is an abundant number, since it is smaller than the sum of its proper divisors (51824048105496).

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

28633686866664 is a wasteful number, since it uses less digits than its factorization.

28633686866664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8212 (or 8208 counting only the distinct ones).

The product of its digits is 10319560704, while the sum is 78.

The spelling of 28633686866664 in words is "twenty-eight trillion, six hundred thirty-three billion, six hundred eighty-six million, eight hundred sixty-six thousand, six hundred sixty-four".