14401728 has 84 divisors (see below), whose sum is σ = 45052488. Its totient is φ = 4362240.

The previous prime is 14401727. The next prime is 14401729. The reversal of 14401728 is 82710441.

It is an interprime number because it is at equal distance from previous prime (14401727) and next prime (14401729).

It is not an unprimeable number, because it can be changed into a prime (14401727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5200 + ... + 7472.

Almost surely, 2^14401728 is an apocalyptic number.

14401728 is a gapful number since it is divisible by the number (18) 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 14401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22526244).

14401728 is an abundant number, since it is smaller than the sum of its proper divisors (30650760).

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

14401728 is a wasteful number, since it uses less digits than its factorization.

14401728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 14401728 is about 3794.9608693635. The cubic root of 14401728 is about 243.2978109569.

It can be divided in two parts, 14401 and 728, that added together give a square (15129 = 123²).

The spelling of 14401728 in words is "fourteen million, four hundred one thousand, seven hundred twenty-eight".