4858800128 has 288 divisors, whose sum is σ = 12783214080. Its totient is φ = 1796014080.

The previous prime is 4858800113. The next prime is 4858800143. The reversal of 4858800128 is 8210088584.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4858800113) and next prime (4858800143).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156735473 + ... + 156735503.

It is an arithmetic number, because the mean of its divisors is an integer number (44386160).

Almost surely, 2^4858800128 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 4858800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6391607040).

4858800128 is an abundant number, since it is smaller than the sum of its proper divisors (7924413952).

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

4858800128 is a wasteful number, since it uses less digits than its factorization.

4858800128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 44.

The square root of 4858800128 is about 69705.0939888901. The cubic root of 4858800128 is about 1693.7254426381.

The spelling of 4858800128 in words is "four billion, eight hundred fifty-eight million, eight hundred thousand, one hundred twenty-eight".