1728

1728 is a natural number that follows 1727 and precedes 1729. It is the cube of 12, making it a perfect cube in addition to its other properties as a number.

Its prime factorization is 2^6 × 3^3, so 1728 is a powerful number (each prime factor appears with an exponent at least 2) and it has 28 positive divisors, computed from (6+1) × (3+1). It is also a Harshad number in base 10, since the sum of its digits is 18 and 1728 divided by 18 equals 96. A common practical fact is that one cubic foot equals 1,728 cubic inches, reflecting the relationship between feet and inches in three dimensions.

In the Gregorian calendar, 1728 was a leap year, as it is divisible by 4 and is not a century year. The year sits in the early 18th century, a period associated with the ongoing development of science, philosophy, and global exchanges characteristic of the Age of Enlightenment. As a numeral with several simple, well-known decompositions, 1728 frequently appears in discussions of volume, mathematical properties of cubes and powers, and historical timelines that reference the early 1700s.