10309728 has 96 divisors (see below), whose sum is σ = 31836672. Its totient is φ = 2880000.

The previous prime is 10309709. The next prime is 10309729. The reversal of 10309728 is 82790301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10309695 and 10309704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10309729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13353 + ... + 14103.

It is an arithmetic number, because the mean of its divisors is an integer number (331632).

Almost surely, 2^10309728 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 10309728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15918336).

10309728 is an abundant number, since it is smaller than the sum of its proper divisors (21526944).

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

10309728 is a wasteful number, since it uses less digits than its factorization.

10309728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 10309728 is about 3210.8765158442. The cubic root of 10309728 is about 217.6451877752.

The spelling of 10309728 in words is "ten million, three hundred nine thousand, seven hundred twenty-eight".