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27908328 = 2337283587
BaseRepresentation
bin110101001110…
…1100011101000
31221111220000210
41222131203220
524121031303
62434101120
7456134250
oct152354350
957456023
1027908328
1114831a38
12941a7a0
135a21c06
1439c6960
1526b4203
hex1a9d8e8

27908328 has 64 divisors (see below), whose sum is σ = 80156160. Its totient is φ = 7932096.

The previous prime is 27908311. The next prime is 27908329. The reversal of 27908328 is 82380972.

It is not an unprimeable number, because it can be changed into a prime (27908329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47251 + ... + 47837.

It is an arithmetic number, because the mean of its divisors is an integer number (1252440).

Almost surely, 227908328 is an apocalyptic number.

27908328 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 27908328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40078080).

27908328 is an abundant number, since it is smaller than the sum of its proper divisors (52247832).

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

27908328 is a wasteful number, since it uses less digits than its factorization.

27908328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 27908328 is about 5282.8333307043. The cubic root of 27908328 is about 303.3271417915.

The spelling of 27908328 in words is "twenty-seven million, nine hundred eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 283 566 587 849 1132 1174 1698 1761 1981 2264 2348 3396 3522 3962 4109 4696 5943 6792 7044 7924 8218 11886 12327 14088 15848 16436 23772 24654 32872 47544 49308 98616 166121 332242 498363 664484 996726 1162847 1328968 1993452 2325694 3488541 3986904 4651388 6977082 9302776 13954164 27908328