4678128432 has 100 divisors (see below), whose sum is σ = 13555723896. Its totient is φ = 1557550080.

The previous prime is 4678128421. The next prime is 4678128437. The reversal of 4678128432 is 2348218764.

It is a happy number.

4678128432 is a `hidden beast` number, since 467 + 81 + 2 + 84 + 32 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4678128437) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1536832 + ... + 1539872.

Almost surely, 2^4678128432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4678128432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777861948).

4678128432 is an abundant number, since it is smaller than the sum of its proper divisors (8877595464).

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

4678128432 is a wasteful number, since it uses less digits than its factorization.

4678128432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4233 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 4678128432 is about 68396.8451904033. The cubic root of 4678128432 is about 1672.4663179688.

The spelling of 4678128432 in words is "four billion, six hundred seventy-eight million, one hundred twenty-eight thousand, four hundred thirty-two".