13628810860 has 96 divisors (see below), whose sum is σ = 33805578240. Its totient is φ = 4516473600.

The previous prime is 13628810837. The next prime is 13628810863. The reversal of 13628810860 is 6801882631.

13628810860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13628810863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5124211 + ... + 5126869.

It is an arithmetic number, because the mean of its divisors is an integer number (352141440).

Almost surely, 2^13628810860 is an apocalyptic number.

13628810860 is a gapful number since it is divisible by the number (10) 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 13628810860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16902789120).

13628810860 is an abundant number, since it is smaller than the sum of its proper divisors (20176767380).

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

13628810860 is a wasteful number, since it uses less digits than its factorization.

13628810860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 13628810860 in words is "thirteen billion, six hundred twenty-eight million, eight hundred ten thousand, eight hundred sixty".