6008771328 has 288 divisors, whose sum is σ = 18905789952. Its totient is φ = 1658880000.

The previous prime is 6008771297. The next prime is 6008771339. The reversal of 6008771328 is 8231778006.

It is a super-2 number, since 2×6008771328² = 72210665744389767168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 6008771328.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23939203 + ... + 23939453.

It is an arithmetic number, because the mean of its divisors is an integer number (65645104).

Almost surely, 2^6008771328 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 6008771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9452894976).

6008771328 is an abundant number, since it is smaller than the sum of its proper divisors (12897018624).

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

6008771328 is a wasteful number, since it uses less digits than its factorization.

6008771328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 6008771328 is about 77516.2649254981. The cubic root of 6008771328 is about 1818.0056372899.

The spelling of 6008771328 in words is "six billion, eight million, seven hundred seventy-one thousand, three hundred twenty-eight".