28199268864 has 480 divisors, whose sum is σ = 92836808064. Its totient is φ = 8174960640.

The previous prime is 28199268859. The next prime is 28199268919. The reversal of 28199268864 is 46886299182.

28199268864 is a `hidden beast` number, since 281 + 99 + 268 + 8 + 6 + 4 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 133645719 + ... + 133645929.

Almost surely, 2^28199268864 is an apocalyptic number.

28199268864 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 28199268864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46418404032).

28199268864 is an abundant number, since it is smaller than the sum of its proper divisors (64637539200).

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

28199268864 is a wasteful number, since it uses less digits than its factorization.

28199268864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 28199268864 in words is "twenty-eight billion, one hundred ninety-nine million, two hundred sixty-eight thousand, eight hundred sixty-four".