4860088128 has 630 divisors, whose sum is σ = 18021157506. Its totient is φ = 1290691584.

The previous prime is 4860088127. The next prime is 4860088139. The reversal of 4860088128 is 8218800684.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4493289024 + 366799104 = 67032^2 + 19152^2 .

It is a super-2 number, since 2×4860088128² = 47240913223853088768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4860088127) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 91699750 + ... + 91699802.

Almost surely, 2^4860088128 is an apocalyptic number.

4860088128 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 4860088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9010578753).

4860088128 is an abundant number, since it is smaller than the sum of its proper divisors (13161069378).

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

4860088128 is a wasteful number, since it uses less digits than its factorization.

4860088128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 4860088128 is about 69714.3322997502. The cubic root of 4860088128 is about 1693.8750903960.

The spelling of 4860088128 in words is "four billion, eight hundred sixty million, eighty-eight thousand, one hundred twenty-eight".