6128071488 has 336 divisors, whose sum is σ = 22030310016. Its totient is φ = 1582202880.

The previous prime is 6128071487. The next prime is 6128071507. The reversal of 6128071488 is 8841708216.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6128071487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10333720 + ... + 10334312.

Almost surely, 2^6128071488 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 6128071488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11015155008).

6128071488 is an abundant number, since it is smaller than the sum of its proper divisors (15902238528).

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

6128071488 is a wasteful number, since it uses less digits than its factorization.

6128071488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 6128071488 is about 78281.9997700621. Note that the first 3 decimals coincide. The cubic root of 6128071488 is about 1829.9586410074.

The spelling of 6128071488 in words is "six billion, one hundred twenty-eight million, seventy-one thousand, four hundred eighty-eight".