6008732928 has 252 divisors, whose sum is σ = 19624264128. Its totient is φ = 1820206080.

The previous prime is 6008732869. The next prime is 6008732941. The reversal of 6008732928 is 8292378006.

6008732928 is a `hidden beast` number, since 600 + 8 + 7 + 32 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×6008732928² = 72209742800062906368, 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 27 ways as a sum of consecutive naturals, for example, 2051401 + ... + 2054327.

It is an arithmetic number, because the mean of its divisors is an integer number (77874064).

Almost surely, 2^6008732928 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 6008732928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9812132064).

6008732928 is an abundant number, since it is smaller than the sum of its proper divisors (13615531200).

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

6008732928 is an equidigital number, since it uses as much as digits as its factorization.

6008732928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6008732928 is about 77516.0172351495. The cubic root of 6008732928 is about 1818.0017645312.

The spelling of 6008732928 in words is "six billion, eight million, seven hundred thirty-two thousand, nine hundred twenty-eight".