10041728 has 32 divisors (see below), whose sum is σ = 21063000. Its totient is φ = 4755456.

The previous prime is 10041719. The next prime is 10041749. The reversal of 10041728 is 82714001.

It is a tau number, because it is divible by the number of its divisors (32).

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, 368 + ... + 4496.

Almost surely, 2^10041728 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 10041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10531500).

10041728 is an abundant number, since it is smaller than the sum of its proper divisors (11021272).

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

10041728 is an equidigital number, since it uses as much as digits as its factorization.

10041728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 10041728 is about 3168.8685678014. The cubic root of 10041728 is about 215.7427206518.

Adding to 10041728 its reverse (82714001), we get a palindrome (92755729).

The spelling of 10041728 in words is "ten million, forty-one thousand, seven hundred twenty-eight".