Search a number
-
+
7028028 = 223271672
BaseRepresentation
bin11010110011110100111100
3111020001122100
4122303310330
53244344103
6410345100
7113510610
oct32636474
914201570
107028028
113a70297
12242b190
1315c0bc7
14d0d340
1593c5a3
hex6b3d3c

7028028 has 54 divisors (see below), whose sum is σ = 20425496. Its totient is φ = 1995984.

The previous prime is 7028027. The next prime is 7028029. The reversal of 7028028 is 8208207.

It is an interprime number because it is at equal distance from previous prime (7028027) and next prime (7028029).

It is a junction number, because it is equal to n+sod(n) for n = 7027992 and 7028010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7028027) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42001 + ... + 42167.

Almost surely, 27028028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7028028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10212748).

7028028 is an abundant number, since it is smaller than the sum of its proper divisors (13397468).

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

7028028 is a wasteful number, since it uses less digits than its factorization.

7028028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 7028028 is about 2651.0428136867. The cubic root of 7028028 is about 191.5480908246.

Multiplying 7028028 by its product of nonzero digits (1792), we get a square (12594226176 = 1122242).

The spelling of 7028028 in words is "seven million, twenty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 167 252 334 501 668 1002 1169 1503 2004 2338 3006 3507 4676 6012 7014 10521 14028 21042 27889 42084 55778 83667 111556 167334 195223 251001 334668 390446 502002 585669 780892 1004004 1171338 1757007 2342676 3514014 7028028