13923728280 has 1280 divisors, whose sum is σ = 63980928000. Its totient is φ = 2682408960.

The previous prime is 13923728251. The next prime is 13923728281. The reversal of 13923728280 is 8282732931.

13923728280 is a `hidden beast` number, since 139 + 237 + 2 + 8 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13923728281) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 207816807 + ... + 207816873.

It is an arithmetic number, because the mean of its divisors is an integer number (49985100).

Almost surely, 2^13923728280 is an apocalyptic number.

13923728280 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 13923728280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31990464000).

13923728280 is an abundant number, since it is smaller than the sum of its proper divisors (50057199720).

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

13923728280 is a wasteful number, since it uses less digits than its factorization.

13923728280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13923728280 in words is "thirteen billion, nine hundred twenty-three million, seven hundred twenty-eight thousand, two hundred eighty".