14257728 has 112 divisors (see below), whose sum is σ = 43240960. Its totient is φ = 4603392.

The previous prime is 14257721. The next prime is 14257729. The reversal of 14257728 is 82775241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14257692 and 14257701.

It is not an unprimeable number, because it can be changed into a prime (14257721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63825 + ... + 64047.

It is an arithmetic number, because the mean of its divisors is an integer number (386080).

Almost surely, 2^14257728 is an apocalyptic number.

14257728 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 14257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21620480).

14257728 is an abundant number, since it is smaller than the sum of its proper divisors (28983232).

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

14257728 is a wasteful number, since it uses less digits than its factorization.

14257728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 265 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 14257728 is about 3775.9406775001. The cubic root of 14257728 is about 242.4841977870.

The spelling of 14257728 in words is "fourteen million, two hundred fifty-seven thousand, seven hundred twenty-eight".