13828339360 has 48 divisors (see below), whose sum is σ = 35639406432. Its totient is φ = 5028486400.

The previous prime is 13828339321. The next prime is 13828339361. The reversal of 13828339360 is 6393382831.

13828339360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13828339360.

It is not an unprimeable number, because it can be changed into a prime (13828339361) 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 7 ways as a sum of consecutive naturals, for example, 3926746 + ... + 3930265.

It is an arithmetic number, because the mean of its divisors is an integer number (742487634).

Almost surely, 2^13828339360 is an apocalyptic number.

13828339360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13828339360 is an abundant number, since it is smaller than the sum of its proper divisors (21811067072).

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

13828339360 is a wasteful number, since it uses less digits than its factorization.

13828339360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7857037 (or 7857029 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 13828339360 in words is "thirteen billion, eight hundred twenty-eight million, three hundred thirty-nine thousand, three hundred sixty".