4731568128 has 288 divisors, whose sum is σ = 16106065920. Its totient is φ = 1344798720.

The previous prime is 4731568123. The next prime is 4731568139. The reversal of 4731568128 is 8218651374.

4731568128 is a `hidden beast` number, since 4 + 73 + 1 + 568 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4731568123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24772513 + ... + 24772703.

It is an arithmetic number, because the mean of its divisors is an integer number (55923840).

Almost surely, 2^4731568128 is an apocalyptic number.

4731568128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4731568128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8053032960).

4731568128 is an abundant number, since it is smaller than the sum of its proper divisors (11374497792).

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

4731568128 is an frugal number, since it uses more digits than its factorization.

4731568128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 203 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 4731568128 is about 68786.3949338821. The cubic root of 4731568128 is about 1678.8105866844.

The spelling of 4731568128 in words is "four billion, seven hundred thirty-one million, five hundred sixty-eight thousand, one hundred twenty-eight".