4959628128 has 216 divisors, whose sum is σ = 17455274928. Its totient is φ = 1307943936.

The previous prime is 4959628097. The next prime is 4959628171. The reversal of 4959628128 is 8218269594.

It is a happy number.

4959628128 is a `hidden beast` number, since 4 + 9 + 5 + 9 + 628 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×4959628128² = 49195822336097568768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 333426 + ... + 347982.

It is an arithmetic number, because the mean of its divisors is an integer number (80811458).

Almost surely, 2^4959628128 is an apocalyptic number.

4959628128 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 4959628128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8727637464).

4959628128 is an abundant number, since it is smaller than the sum of its proper divisors (12495646800).

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

4959628128 is a wasteful number, since it uses less digits than its factorization.

4959628128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14606 (or 14582 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 4959628128 is about 70424.6272833588. The cubic root of 4959628128 is about 1705.3611751664.

The spelling of 4959628128 in words is "four billion, nine hundred fifty-nine million, six hundred twenty-eight thousand, one hundred twenty-eight".