7928 has 8 divisors (see below), whose sum is σ = 14880. Its totient is φ = 3960.

The previous prime is 7927. The next prime is 7933. The reversal of 7928 is 8297.

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is a d-powerful number, because it can be written as 7³ + 2⁹ + 9⁴ + 8³ .

It is a plaindrome in base 9 and base 13.

It is a junction number, because it is equal to n+sod(n) for n = 7897 and 7906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 488 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (1860).

7928 is a Friedman number, since it can be written as 89^2+7, using all its digits and the basic arithmetic operations.

It is an amenable number.

7928 is a deficient number, since it is larger than the sum of its proper divisors (6952).

7928 is a wasteful number, since it uses less digits than its factorization.

7928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 993 counting only the distinct ones).

The product of its digits is 1008, while the sum is 26.

The square root of 7928 is about 89.0393171582. The cubic root of 7928 is about 19.9398190946.

It can be divided in two parts, 792 and 8, that multiplied together give a palindrome (6336).

The spelling of 7928 in words is "seven thousand, nine hundred twenty-eight".