7728256 has 32 divisors (see below), whose sum is σ = 15529500. Its totient is φ = 3830784.

The previous prime is 7728221. The next prime is 7728271. The reversal of 7728256 is 6528277.

It can be written as a sum of positive squares in 2 ways, for example, as 6760000 + 968256 = 2600^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21970 + ... + 22318.

Almost surely, 2^7728256 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 7728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7764750).

7728256 is an abundant number, since it is smaller than the sum of its proper divisors (7801244).

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

7728256 is a wasteful number, since it uses less digits than its factorization.

7728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 524 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 7728256 is about 2779.9741005988. The cubic root of 7728256 is about 197.7093310071.

It can be divided in two parts, 77 and 28256, that multiplied together give a palindrome (2175712).

The spelling of 7728256 in words is "seven million, seven hundred twenty-eight thousand, two hundred fifty-six".