428851009 has 2 divisors, whose sum is σ = 428851010. Its totient is φ = 428851008.

The previous prime is 428850977. The next prime is 428851019. The reversal of 428851009 is 900158824.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 342361009 + 86490000 = 18503^2 + 9300^2 .

It is a cyclic number.

It is not a de Polignac number, because 428851009 - 2⁵ = 428850977 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (428851019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214425504 + 214425505.

It is an arithmetic number, because the mean of its divisors is an integer number (214425505).

Almost surely, 2^428851009 is an apocalyptic number.

It is an amenable number.

428851009 is a deficient number, since it is larger than the sum of its proper divisors (1).

428851009 is an equidigital number, since it uses as much as digits as its factorization.

428851009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 428851009 is about 20708.7181882414. The cubic root of 428851009 is about 754.1113524517. Note that the first 3 decimals are identical.

The spelling of 428851009 in words is "four hundred twenty-eight million, eight hundred fifty-one thousand, nine".