728038349 has 2 divisors, whose sum is σ = 728038350. Its totient is φ = 728038348.

The previous prime is 728038309. The next prime is 728038351. The reversal of 728038349 is 943830827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 624100324 + 103938025 = 24982^2 + 10195^2 .

It is an emirp because it is prime and its reverse (943830827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 728038349 - 2¹⁶ = 727972813 is a prime.

It is a super-2 number, since 2×728038349² = 1060079675229291602, which contains 22 as substring.

Together with 728038351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (728038309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364019174 + 364019175.

It is an arithmetic number, because the mean of its divisors is an integer number (364019175).

Almost surely, 2^728038349 is an apocalyptic number.

It is an amenable number.

728038349 is a deficient number, since it is larger than the sum of its proper divisors (1).

728038349 is an equidigital number, since it uses as much as digits as its factorization.

728038349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 728038349 is about 26982.1857713566. The cubic root of 728038349 is about 899.6040847078.

The spelling of 728038349 in words is "seven hundred twenty-eight million, thirty-eight thousand, three hundred forty-nine".