4673167128 has 256 divisors, whose sum is σ = 15788390400. Its totient is φ = 1250242560.

The previous prime is 4673167099. The next prime is 4673167139. The reversal of 4673167128 is 8217613764.

4673167128 is a `hidden beast` number, since 467 + 3 + 1 + 67 + 128 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7222501 + ... + 7223147.

It is an arithmetic number, because the mean of its divisors is an integer number (61673400).

Almost surely, 2^4673167128 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 4673167128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894195200).

4673167128 is an abundant number, since it is smaller than the sum of its proper divisors (11115223272).

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

4673167128 is a wasteful number, since it uses less digits than its factorization.

4673167128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 957 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 4673167128 is about 68360.5670544064. The cubic root of 4673167128 is about 1671.8748742623.

The spelling of 4673167128 in words is "four billion, six hundred seventy-three million, one hundred sixty-seven thousand, one hundred twenty-eight".