10173728 has 36 divisors (see below), whose sum is σ = 20973078. Its totient is φ = 4857600.

The previous prime is 10173727. The next prime is 10173767. The reversal of 10173728 is 82737101.

It can be written as a sum of positive squares in only one way, i.e., 7118224 + 3055504 = 2668^2 + 1748^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10173728.

It is not an unprimeable number, because it can be changed into a prime (10173727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16628 + ... + 17228.

Almost surely, 2^10173728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10173728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10486539).

10173728 is an abundant number, since it is smaller than the sum of its proper divisors (10799350).

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

10173728 is an equidigital number, since it uses as much as digits as its factorization.

10173728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 10173728 is about 3189.6281914982. The cubic root of 10173728 is about 216.6839318260.

It can be divided in two parts, 10173 and 728, that added together give a palindrome (10901).

The spelling of 10173728 in words is "ten million, one hundred seventy-three thousand, seven hundred twenty-eight".