8242432128 has 128 divisors (see below), whose sum is σ = 27801936000. Its totient is φ = 2354973696.

The previous prime is 8242432109. The next prime is 8242432141. The reversal of 8242432128 is 8212342428.

8242432128 is a `hidden beast` number, since 82 + 424 + 32 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8242432092 and 8242432101.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 146163 + ... + 194546.

It is an arithmetic number, because the mean of its divisors is an integer number (217202625).

Almost surely, 2^8242432128 is an apocalyptic number.

It is an amenable number.

8242432128 is an abundant number, since it is smaller than the sum of its proper divisors (19559503872).

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

8242432128 is a wasteful number, since it uses less digits than its factorization.

8242432128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340739 (or 340721 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 8242432128 is about 90787.8413004737. The cubic root of 8242432128 is about 2020.0019710467.

The spelling of 8242432128 in words is "eight billion, two hundred forty-two million, four hundred thirty-two thousand, one hundred twenty-eight".