10017728 has 56 divisors (see below), whose sum is σ = 23164800. Its totient is φ = 4209408.

The previous prime is 10017727. The next prime is 10017757. The reversal of 10017728 is 82771001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×10017728³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10017697 and 10017706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10017727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26243 + ... + 26621.

Almost surely, 2^10017728 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 10017728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582400).

10017728 is an abundant number, since it is smaller than the sum of its proper divisors (13147072).

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

10017728 is an equidigital number, since it uses as much as digits as its factorization.

10017728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 10017728 is about 3165.0794618777. The cubic root of 10017728 is about 215.5707065711.

Adding to 10017728 its reverse (82771001), we get a palindrome (92788729).

The spelling of 10017728 in words is "ten million, seventeen thousand, seven hundred twenty-eight".