10028 has 12 divisors (see below), whose sum is σ = 18480. Its totient is φ = 4752.

The previous prime is 10009. The next prime is 10037. The reversal of 10028 is 82001.

10028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10028 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is an unprimeable number.

10028 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, 38 + ... + 146.

It is an arithmetic number, because the mean of its divisors is an integer number (1540).

2¹⁰⁰²⁸ is an apocalyptic number.

It is an amenable number.

10028 is a deficient number, since it is larger than the sum of its proper divisors (8452).

10028 is a wasteful number, since it uses less digits than its factorization.

10028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10028 is about 100.1399021370. The cubic root of 10028 is about 21.5644362190.

Adding to 10028 its reverse (82001), we get a palindrome (92029).

It can be divided in two parts, 100 and 28, that added together give a 7-th power (128 = 2⁷).

The spelling of 10028 in words is "ten thousand, twenty-eight".