10005728 has 12 divisors (see below), whose sum is σ = 19698840. Its totient is φ = 5002848.

The previous prime is 10005727. The next prime is 10005731. The reversal of 10005728 is 82750001.

It is a super-2 number, since 2×10005728² = 200229185619968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156308 + ... + 156371.

It is an arithmetic number, because the mean of its divisors is an integer number (1641570).

Almost surely, 2^10005728 is an apocalyptic number.

It is an amenable number.

10005728 is a deficient number, since it is larger than the sum of its proper divisors (9693112).

10005728 is an equidigital number, since it uses as much as digits as its factorization.

10005728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312689 (or 312681 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 10005728 is about 3163.1832068345. The cubic root of 10005728 is about 215.4845964913.

Adding to 10005728 its reverse (82750001), we get a palindrome (92755729).

The spelling of 10005728 in words is "ten million, five thousand, seven hundred twenty-eight".