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27868428 = 22337191193
BaseRepresentation
bin110101001001…
…1110100001100
31221102212022000
41222103310030
524113242203
62433152300
7455610030
oct152236414
957385260
1027868428
1114804a65
1293bb690
135a099c3
1439b61c0
1526a74a3
hex1a93d0c

27868428 has 96 divisors (see below), whose sum is σ = 83435520. Its totient is φ = 7879680.

The previous prime is 27868427. The next prime is 27868439. The reversal of 27868428 is 82486872.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27868427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144300 + ... + 144492.

It is an arithmetic number, because the mean of its divisors is an integer number (869120).

Almost surely, 227868428 is an apocalyptic number.

27868428 is a gapful number since it is divisible by the number (28) 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 27868428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41717760).

27868428 is an abundant number, since it is smaller than the sum of its proper divisors (55567092).

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

27868428 is a wasteful number, since it uses less digits than its factorization.

27868428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 27868428 is about 5279.0555973583. The cubic root of 27868428 is about 303.1825191872.

The spelling of 27868428 in words is "twenty-seven million, eight hundred sixty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 191 193 252 378 382 386 573 579 756 764 772 1146 1158 1337 1351 1719 1737 2292 2316 2674 2702 3438 3474 4011 4053 5157 5211 5348 5404 6876 6948 8022 8106 10314 10422 12033 12159 16044 16212 20628 20844 24066 24318 36099 36477 36863 48132 48636 72198 72954 73726 110589 144396 145908 147452 221178 258041 331767 442356 516082 663534 774123 995301 1032164 1327068 1548246 1990602 2322369 3096492 3981204 4644738 6967107 9289476 13934214 27868428