6296928 has 96 divisors (see below), whose sum is σ = 18506880. Its totient is φ = 1858560.

The previous prime is 6296921. The next prime is 6296947. The reversal of 6296928 is 8296926.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 6296928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6296921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70708 + ... + 70796.

It is an arithmetic number, because the mean of its divisors is an integer number (192780).

Almost surely, 2^6296928 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 6296928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253440).

6296928 is an abundant number, since it is smaller than the sum of its proper divisors (12209952).

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

6296928 is a wasteful number, since it uses less digits than its factorization.

6296928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 6296928 is about 2509.3680479356. The cubic root of 6296928 is about 184.6614504703.

It can be divided in two parts, 629 and 6928, that added together give a palindrome (7557).

The spelling of 6296928 in words is "six million, two hundred ninety-six thousand, nine hundred twenty-eight".