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1028 = 22257
BaseRepresentation
bin10000000100
31102002
4100010
513103
64432
72666
oct2004
91362
101028
11855
12718
13611
14536
15488
hex404

1028 has 6 divisors (see below), whose sum is σ = 1806. Its totient is φ = 512.

The previous prime is 1021. The next prime is 1031. The reversal of 1028 is 8201.

Adding to 1028 its reverse (8201), we get a palindrome (9229).

1028 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in only one way, i.e., 1024 + 4 = 32^2 + 2^2 .

1028 is an undulating number in base 16.

It is a plaindrome in base 7 and base 15.

It is a nialpdrome in base 6, base 11 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021) by changing a digit.

1028 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 (2) of ones.

In principle, a polygon with 1028 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125 + ... + 132.

It is an arithmetic number, because the mean of its divisors is an integer number (301).

It is an amenable number.

1028 is a deficient number, since it is larger than the sum of its proper divisors (778).

1028 is a wasteful number, since it uses less digits than its factorization.

1028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 259 counting only the distinct ones).

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

The square root of 1028 is about 32.0624390838. The cubic root of 1028 is about 10.0924755250.

The spelling of 1028 in words is "one thousand, twenty-eight".

Divisors: 1 2 4 257 514 1028