8028 has 18 divisors (see below), whose sum is σ = 20384. Its totient is φ = 2664.

The previous prime is 8017. The next prime is 8039. The reversal of 8028 is 8208.

It is an interprime number because it is at equal distance from previous prime (8017) and next prime (8039).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number *n* which added to its sum of digits gives 8028.

It is a congruent number.

It is an unprimeable number.

8028 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76 + ... + 147.

2^{8028} is an apocalyptic number.

It is an amenable number.

8028 is an abundant number, since it is smaller than the sum of its proper divisors (12356).

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

8028 is a wasteful number, since it uses less digits than its factorization.

8028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8028 is about 89.5991071384. The cubic root of 8028 is about 20.0233061639.

The spelling of 8028 in words is "eight thousand, twenty-eight".

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