8428638114 has 128 divisors (see below), whose sum is σ = 21568135680. Its totient is φ = 2416822272.

The previous prime is 8428638103. The next prime is 8428638137. The reversal of 8428638114 is 4118368248.

8428638114 is a `hidden beast` number, since 8 + 4 + 2 + 8 + 638 + 1 + 1 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8428638114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1225774 + ... + 1232630.

It is an arithmetic number, because the mean of its divisors is an integer number (168501060).

Almost surely, 2^8428638114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8428638114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10784067840).

8428638114 is an abundant number, since it is smaller than the sum of its proper divisors (13139497566).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8428638114 is a wasteful number, since it uses less digits than its factorization.

8428638114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001 (or 6995 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 8428638114 is about 91807.6146841862. The cubic root of 8428638114 is about 2035.1002261949.

The spelling of 8428638114 in words is "eight billion, four hundred twenty-eight million, six hundred thirty-eight thousand, one hundred fourteen".