728927 has 2 divisors, whose sum is σ = 728928. Its totient is φ = 728926.

The previous prime is 728921. The next prime is 728929. The reversal of 728927 is 729827.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 728927 - 2⁴ = 728911 is a prime.

Together with 728929, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 7⁵ + 2⁵ + 9⁶ + 8⁵ + 2¹⁷ + 7⁵ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 728927.

It is not a weakly prime, because it can be changed into another prime (728921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364463 + 364464.

It is an arithmetic number, because the mean of its divisors is an integer number (364464).

2⁷²⁸⁹²⁷ is an apocalyptic number.

728927 is a deficient number, since it is larger than the sum of its proper divisors (1).

728927 is an equidigital number, since it uses as much as digits as its factorization.

728927 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14112, while the sum is 35.

The square root of 728927 is about 853.7722178661. The cubic root of 728927 is about 89.9969957845.

Subtracting 728927 from its reverse (729827), we obtain a square (900 = 30²).

The spelling of 728927 in words is "seven hundred twenty-eight thousand, nine hundred twenty-seven".