4128308688 has 320 divisors, whose sum is σ = 13256294400. Its totient is φ = 1081866240.

The previous prime is 4128308677. The next prime is 4128308689. The reversal of 4128308688 is 8868038214.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128308689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23862970 + ... + 23863142.

It is an arithmetic number, because the mean of its divisors is an integer number (41425920).

Almost surely, 2^4128308688 is an apocalyptic number.

4128308688 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 4128308688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628147200).

4128308688 is an abundant number, since it is smaller than the sum of its proper divisors (9127985712).

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

4128308688 is a wasteful number, since it uses less digits than its factorization.

4128308688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 4128308688 is about 64251.9158313587. The cubic root of 4128308688 is about 1604.1958475878.

The spelling of 4128308688 in words is "four billion, one hundred twenty-eight million, three hundred eight thousand, six hundred eighty-eight".