10009728 has 48 divisors (see below), whose sum is σ = 28807350. Its totient is φ = 3336192.

The previous prime is 10009723. The next prime is 10009729. The reversal of 10009728 is 82790001.

It can be written as a sum of positive squares in only one way, i.e., 6594624 + 3415104 = 2568^2 + 1848^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10009723) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3193 + ... + 5496.

Almost surely, 2^10009728 is an apocalyptic number.

10009728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10009728 is an abundant number, since it is smaller than the sum of its proper divisors (18797622).

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

10009728 is an equidigital number, since it uses as much as digits as its factorization.

10009728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8709 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10009728 is about 3163.8154181305. The cubic root of 10009728 is about 215.5133074973.

Adding to 10009728 its reverse (82790001), we get a palindrome (92799729).

The spelling of 10009728 in words is "ten million, nine thousand, seven hundred twenty-eight".