7728528 has 40 divisors (see below), whose sum is σ = 20311200. Its totient is φ = 2531584.

The previous prime is 7728527. The next prime is 7728533. The reversal of 7728528 is 8258277.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (7728527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1468 + ... + 4196.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^7728528 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 7728528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155600).

7728528 is an abundant number, since it is smaller than the sum of its proper divisors (12582672).

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

7728528 is a wasteful number, since it uses less digits than its factorization.

7728528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2793 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The square root of 7728528 is about 2780.0230214874. The cubic root of 7728528 is about 197.7116504743.

It can be divided in two parts, 772852 and 8, that multiplied together give a palindrome (6182816).

The spelling of 7728528 in words is "seven million, seven hundred twenty-eight thousand, five hundred twenty-eight".