13728000 has 288 divisors, whose sum is σ = 53569152. Its totient is φ = 3072000.

The previous prime is 13727981. The next prime is 13728037. The reversal of 13728000 is 82731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055994 + ... + 1056006.

It is an arithmetic number, because the mean of its divisors is an integer number (186004).

Almost surely, 2^13728000 is an apocalyptic number.

13728000 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 13728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26784576).

13728000 is an abundant number, since it is smaller than the sum of its proper divisors (39841152).

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

13728000 is a wasteful number, since it uses less digits than its factorization.

13728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 13728000 is about 3705.1315766110. The cubic root of 13728000 is about 239.4431534517.

The spelling of 13728000 in words is "thirteen million, seven hundred twenty-eight thousand".