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27890928 = 24321347317
BaseRepresentation
bin110101001100…
…1010011110000
31221111000011100
41222121103300
524120002203
62433444400
7456032442
oct152312360
957430140
1027890928
111481a95a
129410700
135a17010
1439c0492
1526adea3
hex1a994f0

27890928 has 120 divisors (see below), whose sum is σ = 86119488. Its totient is φ = 8372736.

The previous prime is 27890923. The next prime is 27890959. The reversal of 27890928 is 82909872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27890921) 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, 87826 + ... + 88142.

Almost surely, 227890928 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 27890928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43059744).

27890928 is an abundant number, since it is smaller than the sum of its proper divisors (58228560).

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

27890928 is a wasteful number, since it uses less digits than its factorization.

27890928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 27890928 is about 5281.1862303842. The cubic root of 27890928 is about 303.2640902475.

The spelling of 27890928 in words is "twenty-seven million, eight hundred ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 47 48 52 72 78 94 104 117 141 144 156 188 208 234 282 312 317 376 423 468 564 611 624 634 752 846 936 951 1128 1222 1268 1692 1833 1872 1902 2256 2444 2536 2853 3384 3666 3804 4121 4888 5072 5499 5706 6768 7332 7608 8242 9776 10998 11412 12363 14664 14899 15216 16484 21996 22824 24726 29328 29798 32968 37089 43992 44697 45648 49452 59596 65936 74178 87984 89394 98904 119192 134091 148356 178788 193687 197808 238384 268182 296712 357576 387374 536364 581061 593424 715152 774748 1072728 1162122 1549496 1743183 2145456 2324244 3098992 3486366 4648488 6972732 9296976 13945464 27890928