428009009 has 2 divisors, whose sum is σ = 428009010. Its totient is φ = 428009008.

The previous prime is 428009003. The next prime is 428009041. The reversal of 428009009 is 900900824.

It is an a-pointer prime, because the next prime (428009041) can be obtained adding 428009009 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 393903409 + 34105600 = 19847^2 + 5840^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-428009009 is a prime.

428009009 is a modest number, since divided by 9009 gives 428 as remainder.

It is not a weakly prime, because it can be changed into another prime (428009003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214004504 + 214004505.

It is an arithmetic number, because the mean of its divisors is an integer number (214004505).

Almost surely, 2^428009009 is an apocalyptic number.

It is an amenable number.

428009009 is a deficient number, since it is larger than the sum of its proper divisors (1).

428009009 is an equidigital number, since it uses as much as digits as its factorization.

428009009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 428009009 is about 20688.3785976572. The cubic root of 428009009 is about 753.6174919130.

The spelling of 428009009 in words is "four hundred twenty-eight million, nine thousand, nine".