728824127 has 2 divisors, whose sum is σ = 728824128. Its totient is φ = 728824126.

The previous prime is 728824087. The next prime is 728824177. The reversal of 728824127 is 721428827.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 728824127 - 2¹⁴ = 728807743 is a prime.

It is a Chen prime.

It is equal to p_37666823 and since 728824127 and 37666823 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (728824177) 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, 364412063 + 364412064.

It is an arithmetic number, because the mean of its divisors is an integer number (364412064).

Almost surely, 2^728824127 is an apocalyptic number.

728824127 is a deficient number, since it is larger than the sum of its proper divisors (1).

728824127 is an equidigital number, since it uses as much as digits as its factorization.

728824127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 100352, while the sum is 41.

The square root of 728824127 is about 26996.7428961347. The cubic root of 728824127 is about 899.9276184588.

The spelling of 728824127 in words is "seven hundred twenty-eight million, eight hundred twenty-four thousand, one hundred twenty-seven".