Search a number
-
+
18428928 = 21037857
BaseRepresentation
bin100011001001…
…1010000000000
31021200021201220
41012103100000
514204211203
61454555040
7312433440
oct106232000
937607656
1018428928
11a447a21
126208a80
133a832bb
14263a120
151940653
hex1193400

18428928 has 88 divisors (see below), whose sum is σ = 56202432. Its totient is φ = 5259264.

The previous prime is 18428909. The next prime is 18428929. The reversal of 18428928 is 82982481.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 18428928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18428929) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 21076 + ... + 21932.

It is an arithmetic number, because the mean of its divisors is an integer number (638664).

Almost surely, 218428928 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 18428928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28101216).

18428928 is an abundant number, since it is smaller than the sum of its proper divisors (37773504).

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

18428928 is an equidigital number, since it uses as much as digits as its factorization.

18428928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 869 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 18428928 is about 4292.8927310148. The cubic root of 18428928 is about 264.1395038640.

The spelling of 18428928 in words is "eighteen million, four hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 857 896 1024 1344 1536 1714 1792 2571 2688 3072 3428 3584 5142 5376 5999 6856 7168 10284 10752 11998 13712 17997 20568 21504 23996 27424 35994 41136 47992 54848 71988 82272 95984 109696 143976 164544 191968 219392 287952 329088 383936 438784 575904 658176 767872 877568 1151808 1316352 1535744 2303616 2632704 3071488 4607232 6142976 9214464 18428928