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2028 = 223132
BaseRepresentation
bin11111101100
32210010
4133230
531103
613220
75625
oct3754
92703
102028
111584
121210
13c00
14a4c
15903
hex7ec

2028 has 18 divisors (see below), whose sum is σ = 5124. Its totient is φ = 624.

The previous prime is 2027. The next prime is 2029. The reversal of 2028 is 8202.

Subtracting from 2028 its sum of digits (12), we obtain a triangular number (2016 = T63).

Multipling 2028 by its sum of digits (12), we get a square (24336 = 1562).

2028 divided by its sum of digits (12) gives a square (169 = 132).

It can be divided in two parts, 202 and 8, that added together give a triangular number (210 = T20).

2028 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (2027) and next prime (2029).

It is a super-2 number, since 2×20282 = 8225568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (2027) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150 + ... + 162.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562).

2028 is an abundant number, since it is smaller than the sum of its proper divisors (3096).

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

2028 is a wasteful number, since it uses less digits than its factorization.

2028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2028 is about 45.0333209968. The cubic root of 2028 is about 12.6577345462.

The spelling of 2028 in words is "two thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028