6407728 has 20 divisors (see below), whose sum is σ = 12454560. Its totient is φ = 3193664.

The previous prime is 6407701. The next prime is 6407741. The reversal of 6407728 is 8277046.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 6407693 and 6407702.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8553 + ... + 9271.

It is an arithmetic number, because the mean of its divisors is an integer number (622728).

Almost surely, 2^6407728 is an apocalyptic number.

It is an amenable number.

6407728 is a deficient number, since it is larger than the sum of its proper divisors (6046832).

6407728 is a wasteful number, since it uses less digits than its factorization.

6407728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 6407728 is about 2531.3490474449. The cubic root of 6407728 is about 185.7382528662.

The spelling of 6407728 in words is "six million, four hundred seven thousand, seven hundred twenty-eight".