428337009 has 12 divisors (see below), whose sum is σ = 624185796. Its totient is φ = 283030272.

The previous prime is 428337001. The next prime is 428337029. The reversal of 428337009 is 900733824.

428337009 is a `hidden beast` number, since 4 + 283 + 370 + 0 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56927025 + 371409984 = 7545^2 + 19272^2 .

It is not a de Polignac number, because 428337009 - 2³ = 428337001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (428337001) 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 in 11 ways as a sum of consecutive naturals, for example, 209572 + ... + 211605.

It is an arithmetic number, because the mean of its divisors is an integer number (52015483).

Almost surely, 2^428337009 is an apocalyptic number.

It is an amenable number.

428337009 is a deficient number, since it is larger than the sum of its proper divisors (195848787).

428337009 is a wasteful number, since it uses less digits than its factorization.

428337009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421296 (or 421293 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 428337009 is about 20696.3042352977. The cubic root of 428337009 is about 753.8099515857.

The spelling of 428337009 in words is "four hundred twenty-eight million, three hundred thirty-seven thousand, nine".