428738318795259 has 80 divisors (see below), whose sum is σ = 702689754856320. Its totient is φ = 258352331034240.

The previous prime is 428738318795203. The next prime is 428738318795273. The reversal of 428738318795259 is 952597813837824.

428738318795259 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 3 + 8 + 3 + 1 + 87 + 9 + 525 + 9 = 666.

It is not a de Polignac number, because 428738318795259 - 2²⁵ = 428738285240827 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (428738318797259) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1120537927 + ... + 1120920479.

It is an arithmetic number, because the mean of its divisors is an integer number (8783621935704).

Almost surely, 2^{428738318795259} is an apocalyptic number.

428738318795259 is a deficient number, since it is larger than the sum of its proper divisors (273951436061061).

428738318795259 is a wasteful number, since it uses less digits than its factorization.

428738318795259 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389782 (or 389773 counting only the distinct ones).

The product of its digits is 7315660800, while the sum is 81.

The spelling of 428738318795259 in words is "four hundred twenty-eight trillion, seven hundred thirty-eight billion, three hundred eighteen million, seven hundred ninety-five thousand, two hundred fifty-nine".