728837 has 2 divisors, whose sum is σ = 728838. Its totient is φ = 728836.

The previous prime is 728831. The next prime is 728839. The reversal of 728837 is 738827.

It is a happy number.

728837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 564001 + 164836 = 751^2 + 406^2 .

It is an emirp because it is prime and its reverse (738827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 728837 - 2¹⁶ = 663301 is a prime.

Together with 728839, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 728797 and 728806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (728831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364418 + 364419.

It is an arithmetic number, because the mean of its divisors is an integer number (364419).

2⁷²⁸⁸³⁷ is an apocalyptic number.

It is an amenable number.

728837 is a deficient number, since it is larger than the sum of its proper divisors (1).

728837 is an equidigital number, since it uses as much as digits as its factorization.

728837 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18816, while the sum is 35.

The square root of 728837 is about 853.7195089724. The cubic root of 728837 is about 89.9932916811.

The spelling of 728837 in words is "seven hundred twenty-eight thousand, eight hundred thirty-seven".