10313728 has 28 divisors (see below), whose sum is σ = 20642580. Its totient is φ = 5152768.

The previous prime is 10313717. The next prime is 10313749. The reversal of 10313728 is 82731301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7563 + ... + 8821.

It is an arithmetic number, because the mean of its divisors is an integer number (737235).

Almost surely, 2^10313728 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 10313728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10321290).

10313728 is an abundant number, since it is smaller than the sum of its proper divisors (10328852).

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

10313728 is an frugal number, since it uses more digits than its factorization.

10313728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 10313728 is about 3211.4993383154. The cubic root of 10313728 is about 217.6733316857.

It can be divided in two parts, 103 and 13728, that added together give a palindrome (13831).

The spelling of 10313728 in words is "ten million, three hundred thirteen thousand, seven hundred twenty-eight".