6004093728 has 48 divisors (see below), whose sum is σ = 16687853280. Its totient is φ = 1883636736.

The previous prime is 6004093723. The next prime is 6004093747. The reversal of 6004093728 is 8273904006.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (6004093723) 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 7 ways as a sum of consecutive naturals, for example, 1837858 + ... + 1841121.

It is an arithmetic number, because the mean of its divisors is an integer number (347663610).

Almost surely, 2^6004093728 is an apocalyptic number.

6004093728 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

6004093728 is an abundant number, since it is smaller than the sum of its proper divisors (10683759552).

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

6004093728 is a wasteful number, since it uses less digits than its factorization.

6004093728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679009 (or 3679001 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 6004093728 is about 77486.0873189504. The cubic root of 6004093728 is about 1817.5337654038.

The spelling of 6004093728 in words is "six billion, four million, ninety-three thousand, seven hundred twenty-eight".