13728400 has 60 divisors (see below), whose sum is σ = 37701952. Its totient is φ = 4705920.

The previous prime is 13728391. The next prime is 13728409. The reversal of 13728400 is 482731.

It is an interprime number because it is at equal distance from previous prime (13728391) and next prime (13728409).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13728409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349 + ... + 5251.

Almost surely, 2^13728400 is an apocalyptic number.

13728400 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 13728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18850976).

13728400 is an abundant number, since it is smaller than the sum of its proper divisors (23973552).

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

13728400 is a wasteful number, since it uses less digits than its factorization.

13728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 13728400 is about 3705.1855554074. The cubic root of 13728400 is about 239.4454790230.

The spelling of 13728400 in words is "thirteen million, seven hundred twenty-eight thousand, four hundred".