6493728 has 96 divisors (see below), whose sum is σ = 18942336. Its totient is φ = 1937408.

The previous prime is 6493699. The next prime is 6493741. The reversal of 6493728 is 8273946.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37450 + ... + 37622.

It is an arithmetic number, because the mean of its divisors is an integer number (197316).

Almost surely, 2^6493728 is an apocalyptic number.

6493728 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6493728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9471168).

6493728 is an abundant number, since it is smaller than the sum of its proper divisors (12448608).

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

6493728 is a wasteful number, since it uses less digits than its factorization.

6493728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

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

The square root of 6493728 is about 2548.2794195300. The cubic root of 6493728 is about 186.5655120877.

The spelling of 6493728 in words is "six million, four hundred ninety-three thousand, seven hundred twenty-eight".