6728464 has 40 divisors (see below), whose sum is σ = 14295960. Its totient is φ = 3053568.

The previous prime is 6728441. The next prime is 6728467. The reversal of 6728464 is 4648276.

It can be written as a sum of positive squares in 4 ways, for example, as 518400 + 6210064 = 720^2 + 2492^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6728467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7462 + ... + 8314.

It is an arithmetic number, because the mean of its divisors is an integer number (357399).

Almost surely, 2^6728464 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 6728464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7147980).

6728464 is an abundant number, since it is smaller than the sum of its proper divisors (7567496).

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

6728464 is a wasteful number, since it uses less digits than its factorization.

6728464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 901 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 6728464 is about 2593.9282950768. The cubic root of 6728464 is about 188.7869532783.

Adding to 6728464 its product of digits (64512), we get a palindrome (6792976).

The spelling of 6728464 in words is "six million, seven hundred twenty-eight thousand, four hundred sixty-four".