4582128096 has 288 divisors, whose sum is σ = 16542731520. Its totient is φ = 1208203776.

The previous prime is 4582128077. The next prime is 4582128101. The reversal of 4582128096 is 6908212854.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1019871 + ... + 1024353.

It is an arithmetic number, because the mean of its divisors is an integer number (57440040).

Almost surely, 2^4582128096 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 4582128096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8271365760).

4582128096 is an abundant number, since it is smaller than the sum of its proper divisors (11960603424).

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

4582128096 is a wasteful number, since it uses less digits than its factorization.

4582128096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4582128096 is about 67691.4181857641. The cubic root of 4582128096 is about 1660.9468754798.

The spelling of 4582128096 in words is "four billion, five hundred eighty-two million, one hundred twenty-eight thousand, ninety-six".