7688128 has 42 divisors (see below), whose sum is σ = 17569688. Its totient is φ = 3269760.

The previous prime is 7688117. The next prime is 7688129. The reversal of 7688128 is 8218867.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7688129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58623 + ... + 58753.

Almost surely, 2^7688128 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 7688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8784844).

7688128 is an abundant number, since it is smaller than the sum of its proper divisors (9881560).

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

7688128 is an equidigital number, since it uses as much as digits as its factorization.

7688128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 140 counting only the distinct ones).

The product of its digits is 43008, while the sum is 40.

The square root of 7688128 is about 2772.7473739957. The cubic root of 7688128 is about 197.3665433920.

It can be divided in two parts, 7688 and 128, that multiplied together give a square (984064 = 992²).

The spelling of 7688128 in words is "seven million, six hundred eighty-eight thousand, one hundred twenty-eight".