13834288728 has 80 divisors (see below), whose sum is σ = 41729521680. Its totient is φ = 4256701632.

The previous prime is 13834288711. The next prime is 13834288733. The reversal of 13834288728 is 82788243831.

13834288728 is a `hidden beast` number, since 138 + 3 + 428 + 87 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 812700 + ... + 829547.

It is an arithmetic number, because the mean of its divisors is an integer number (521619021).

Almost surely, 2^13834288728 is an apocalyptic number.

13834288728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13834288728 is an abundant number, since it is smaller than the sum of its proper divisors (27895232952).

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

13834288728 is a wasteful number, since it uses less digits than its factorization.

13834288728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642278 (or 1642265 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 13834288728 in words is "thirteen billion, eight hundred thirty-four million, two hundred eighty-eight thousand, seven hundred twenty-eight".