7693728 has 72 divisors (see below), whose sum is σ = 23298912. Its totient is φ = 2177664.

The previous prime is 7693717. The next prime is 7693739. The reversal of 7693728 is 8273967.

It is an interprime number because it is at equal distance from previous prime (7693717) and next prime (7693739).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 7693728.

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 11 ways as a sum of consecutive naturals, for example, 71851 + ... + 71957.

It is an arithmetic number, because the mean of its divisors is an integer number (323596).

Almost surely, 2^7693728 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 7693728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11649456).

7693728 is an abundant number, since it is smaller than the sum of its proper divisors (15605184).

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

7693728 is a wasteful number, since it uses less digits than its factorization.

7693728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 119 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 7693728 is about 2773.7570189186. The cubic root of 7693728 is about 197.4144520809.

Multiplying 7693728 by its sum of digits (42), we get a square (323136576 = 17976²).

7693728 divided by its sum of digits (42) gives a square (183184 = 428²).

The spelling of 7693728 in words is "seven million, six hundred ninety-three thousand, seven hundred twenty-eight".