13741728 has 216 divisors, whose sum is σ = 49067424. Its totient is φ = 3294720.

The previous prime is 13741727. The next prime is 13741733. The reversal of 13741728 is 82714731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13741723) 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 35 ways as a sum of consecutive naturals, for example, 1057050 + ... + 1057062.

It is an arithmetic number, because the mean of its divisors is an integer number (227164).

Almost surely, 2^13741728 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 13741728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24533712).

13741728 is an abundant number, since it is smaller than the sum of its proper divisors (35325696).

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

13741728 is a wasteful number, since it uses less digits than its factorization.

13741728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 36 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 13741728 is about 3706.9836794893. The cubic root of 13741728 is about 239.5229412461.

The spelling of 13741728 in words is "thirteen million, seven hundred forty-one thousand, seven hundred twenty-eight".