16728

16728 is a natural number that sits between 16727 and 16729. It is an even, composite integer with several notable arithmetic properties.

Its prime factorization is 16728 = 2^3 × 3 × 17 × 41. This shows the number is divisible by 8 and by 3, among other divisors. In decimal form it is 16728, and in other common bases it can be represented as 0x4158 in hexadecimal and 0100000101011000 in binary.

16728 is a Harshad (or Niven) number in base 10, since it is divisible by the sum of its digits. The sum of digits is 1+6+7+2+8 = 24, and 16728 ÷ 24 = 697. The digital root is 6.

From arithmetic function perspectives, 16728 has 32 divisors (derived from the exponents in its prime factorization). The Euler totient function yields φ(16728) = 5120, and the sum of divisors is σ(16728) = 45360.

This number is also a practical number, a class of positive integers characterized by a packing property of divisors. Its prime factors satisfy the standard criterion for practical numbers: 3 ≤ 1 + σ(2^3) = 16, 17 ≤ 1 + σ(2^3·3) = 61, and 41 ≤ 1 + σ(2^3·3·17) = 1081, confirming 16728 as practical.

In summary, 16728 is a composite, Harshad, practical number with a square-free portion 3 × 17 × 41 and a total of 32 divisors.