13822736928 has 288 divisors, whose sum is σ = 49590273600. Its totient is φ = 3313981440.

The previous prime is 13822736927. The next prime is 13822736981. The reversal of 13822736928 is 82963722831.

13822736928 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 (13822736923) 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 47 ways as a sum of consecutive naturals, for example, 662398 + ... + 682946.

It is an arithmetic number, because the mean of its divisors is an integer number (172188450).

Almost surely, 2^13822736928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13822736928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24795136800).

13822736928 is an abundant number, since it is smaller than the sum of its proper divisors (35767536672).

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

13822736928 is a wasteful number, since it uses less digits than its factorization.

13822736928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20600 (or 20585 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 13822736928 in words is "thirteen billion, eight hundred twenty-two million, seven hundred thirty-six thousand, nine hundred twenty-eight".