428354003817 has 24 divisors (see below), whose sum is σ = 633163474944. Its totient is φ = 278910231264.

The previous prime is 428354003809. The next prime is 428354003839. The reversal of 428354003817 is 718300453824.

428354003817 is a `hidden beast` number, since 4 + 28 + 3 + 540 + 0 + 3 + 81 + 7 = 666.

It is not a de Polignac number, because 428354003817 - 2³ = 428354003809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428354003897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8829208 + ... + 8877590.

It is an arithmetic number, because the mean of its divisors is an integer number (26381811456).

Almost surely, 2^428354003817 is an apocalyptic number.

It is an amenable number.

428354003817 is a deficient number, since it is larger than the sum of its proper divisors (204809471127).

428354003817 is a wasteful number, since it uses less digits than its factorization.

428354003817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71309 (or 71306 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 428354003817 in words is "four hundred twenty-eight billion, three hundred fifty-four million, three thousand, eight hundred seventeen".