728837201 has 2 divisors, whose sum is σ = 728837202. Its totient is φ = 728837200.

The previous prime is 728837191. The next prime is 728837203. The reversal of 728837201 is 102738827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 497067025 + 231770176 = 22295^2 + 15224^2 .

It is an emirp because it is prime and its reverse (102738827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 728837201 - 2¹⁰ = 728836177 is a prime.

Together with 728837203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (728837203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364418600 + 364418601.

It is an arithmetic number, because the mean of its divisors is an integer number (364418601).

Almost surely, 2^728837201 is an apocalyptic number.

It is an amenable number.

728837201 is a deficient number, since it is larger than the sum of its proper divisors (1).

728837201 is an equidigital number, since it uses as much as digits as its factorization.

728837201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 728837201 is about 26996.9850353702. The cubic root of 728837201 is about 899.9329995390.

The spelling of 728837201 in words is "seven hundred twenty-eight million, eight hundred thirty-seven thousand, two hundred one".