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18027828 = 22327135503
BaseRepresentation
bin100010011000…
…1010100110100
31020220220112100
41010301110310
514103342303
61442222100
7306143160
oct104612464
936826470
1018027828
11a1a3635
126054930
133972870
142573ca0
1518b18a3
hex1131534

18027828 has 72 divisors (see below), whose sum is σ = 56096768. Its totient is φ = 4753728.

The previous prime is 18027767. The next prime is 18027829. The reversal of 18027828 is 82872081.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18027792 and 18027801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18027829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525 + ... + 6027.

Almost surely, 218027828 is an apocalyptic number.

18027828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18027828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28048384).

18027828 is an abundant number, since it is smaller than the sum of its proper divisors (38068940).

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

18027828 is a wasteful number, since it uses less digits than its factorization.

18027828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 18027828 is about 4245.9189817989. The cubic root of 18027828 is about 262.2091254218.

The spelling of 18027828 in words is "eighteen million, twenty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 5503 11006 16509 22012 33018 38521 49527 66036 71539 77042 99054 115563 143078 154084 198108 214617 231126 286156 346689 429234 462252 500773 643851 693378 858468 1001546 1287702 1386756 1502319 2003092 2575404 3004638 4506957 6009276 9013914 18027828