7828 has 12 divisors (see below), whose sum is σ = 14560. Its totient is φ = 3672.

The previous prime is 7823. The next prime is 7829. The reversal of 7828 is 8287.

It is a super-2 number, since 2×7828² = 122555168, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7823) by changing a digit.

7828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25 + ... + 127.

2⁷⁸²⁸ is an apocalyptic number.

It is an amenable number.

7828 is a deficient number, since it is larger than the sum of its proper divisors (6732).

7828 is a wasteful number, since it uses less digits than its factorization.

7828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 124 counting only the distinct ones).

The product of its digits is 896, while the sum is 25.

The square root of 7828 is about 88.4759854424. The cubic root of 7828 is about 19.8556269962.

The spelling of 7828 in words is "seven thousand, eight hundred twenty-eight".