14728 has 16 divisors (see below), whose sum is σ = 31680. Its totient is φ = 6288.

The previous prime is 14723. The next prime is 14731. The reversal of 14728 is 82741.

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

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 15.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 14699 and 14708.

It is not an unprimeable number, because it can be changed into a prime (14723) by changing a digit.

14728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76 + ... + 187.

It is an arithmetic number, because the mean of its divisors is an integer number (1980).

2¹⁴⁷²⁸ is an apocalyptic number.

It is an amenable number.

14728 is an abundant number, since it is smaller than the sum of its proper divisors (16952).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15840).

14728 is a wasteful number, since it uses less digits than its factorization.

14728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 272 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The square root of 14728 is about 121.3589716502. The cubic root of 14728 is about 24.5121416981.

Subtracting from 14728 its sum of digits (22), we obtain a triangular number (14706 = T₁₇₁).

The spelling of 14728 in words is "fourteen thousand, seven hundred twenty-eight".