10201728 has 64 divisors (see below), whose sum is σ = 28005120. Its totient is φ = 3287040.

The previous prime is 10201699. The next prime is 10201769. The reversal of 10201728 is 82710201.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11476 + ... + 12332.

It is an arithmetic number, because the mean of its divisors is an integer number (437580).

Almost surely, 2^10201728 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 10201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14002560).

10201728 is an abundant number, since it is smaller than the sum of its proper divisors (17803392).

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

10201728 is an equidigital number, since it uses as much as digits as its factorization.

10201728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 10201728 is about 3194.0144019713. The cubic root of 10201728 is about 216.8825346263.

Adding to 10201728 its reverse (82710201), we get a palindrome (92911929).

The spelling of 10201728 in words is "ten million, two hundred one thousand, seven hundred twenty-eight".