9728603903041 has 9 divisors (see below), whose sum is σ = 9863928905571. Its totient is φ = 9595110783312.

The previous prime is 9728603903027. The next prime is 9728603903063. The reversal of 9728603903041 is 1403093068279.

The square root of 9728603903041 is 3119071.

It is a perfect power (a square), and thus also a powerful number.

9728603903041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5522429500225 + 4206174402816 = 2349985^2 + 2050896^2 .

It is not a de Polignac number, because 9728603903041 - 2⁵ = 9728603903009 is a prime.

It is a super-3 number, since 3×9728603903041³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9728603903041.

It is not an unprimeable number, because it can be changed into a prime (9728603903341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 227670820 + ... + 227713546.

It is an arithmetic number, because the mean of its divisors is an integer number (1095992100619).

Almost surely, 2^{9728603903041} is an apocalyptic number.

9728603903041 is the 3119071-st square number.

9728603903041 is the 1559536-th centered octagonal number.

It is an amenable number.

9728603903041 is a deficient number, since it is larger than the sum of its proper divisors (135325002530).

9728603903041 is an frugal number, since it uses more digits than its factorization.

9728603903041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85600 (or 42800 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 9728603903041 in words is "nine trillion, seven hundred twenty-eight billion, six hundred three million, nine hundred three thousand, forty-one".