13428587768238 has 72 divisors (see below), whose sum is σ = 29269201276224. Its totient is φ = 4449590349120.

The previous prime is 13428587768209. The next prime is 13428587768279. The reversal of 13428587768238 is 83286778582431.

13428587768238 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 8 + 587 + 7 + 6 + 8 + 2 + 38 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 691579506 + ... + 691598922.

It is an arithmetic number, because the mean of its divisors is an integer number (406516684392).

Almost surely, 2^{13428587768238} is an apocalyptic number.

13428587768238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13428587768238 is an abundant number, since it is smaller than the sum of its proper divisors (15840613507986).

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

13428587768238 is a wasteful number, since it uses less digits than its factorization.

13428587768238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20710 (or 20496 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 13428587768238 in words is "thirteen trillion, four hundred twenty-eight billion, five hundred eighty-seven million, seven hundred sixty-eight thousand, two hundred thirty-eight".