268802000028 has 18 divisors (see below), whose sum is σ = 679471722384. Its totient is φ = 89600666664.

The previous prime is 268802000023. The next prime is 268802000039. The reversal of 268802000028 is 820000208862.

268802000028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×268802000028³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 7466722223 = 268802000028 / (2 + 6 + 8 + 8 + 0 + 2 + 0 + 0 + 0 + 0 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 268801999956 and 268802000001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268802000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3733361076 + ... + 3733361147.

Almost surely, 2^268802000028 is an apocalyptic number.

It is an amenable number.

268802000028 is an abundant number, since it is smaller than the sum of its proper divisors (410669722356).

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

268802000028 is a wasteful number, since it uses less digits than its factorization.

268802000028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466722233 (or 7466722228 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 268802000028 in words is "two hundred sixty-eight billion, eight hundred two million, twenty-eight", and thus it is an aban number.