6657728 has 84 divisors (see below), whose sum is σ = 16852392. Its totient is φ = 2580480.

The previous prime is 6657709. The next prime is 6657731. The reversal of 6657728 is 8277566.

It is a happy number.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34400 + ... + 34592.

Almost surely, 2^6657728 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 6657728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426196).

6657728 is an abundant number, since it is smaller than the sum of its proper divisors (10194664).

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

6657728 is a wasteful number, since it uses less digits than its factorization.

6657728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 213 counting only the distinct ones).

The product of its digits is 141120, while the sum is 41.

The square root of 6657728 is about 2580.2573515059. The cubic root of 6657728 is about 188.1230520801.

The spelling of 6657728 in words is "six million, six hundred fifty-seven thousand, seven hundred twenty-eight".