10001728 has 28 divisors (see below), whose sum is σ = 21652992. Its totient is φ = 4545920.

The previous prime is 10001713. The next prime is 10001759. The reversal of 10001728 is 82710001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6400 + ... + 7807.

Almost surely, 2^10001728 is an apocalyptic number.

It is an amenable number.

10001728 is an abundant number, since it is smaller than the sum of its proper divisors (11651264).

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

10001728 is a wasteful number, since it uses less digits than its factorization.

10001728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14230 (or 14220 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 10001728 is about 3162.5508691561. The cubic root of 10001728 is about 215.4558778323.

Adding to 10001728 its reverse (82710001), we get a palindrome (92711729).

It can be divided in two parts, 1000 and 1728, that multiplied together give a cube (1728000 = 120³).

The spelling of 10001728 in words is "ten million, one thousand, seven hundred twenty-eight".