4738576128 has 216 divisors, whose sum is σ = 14902231680. Its totient is φ = 1325076480.

The previous prime is 4738576123. The next prime is 4738576153. The reversal of 4738576128 is 8216758374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4738576123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1426053 + ... + 1429371.

Almost surely, 2^4738576128 is an apocalyptic number.

4738576128 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 4738576128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451115840).

4738576128 is an abundant number, since it is smaller than the sum of its proper divisors (10163655552).

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

4738576128 is a wasteful number, since it uses less digits than its factorization.

4738576128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3348 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 4738576128 is about 68837.3163916200. The cubic root of 4738576128 is about 1679.6390154107.

The spelling of 4738576128 in words is "four billion, seven hundred thirty-eight million, five hundred seventy-six thousand, one hundred twenty-eight".