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28738584 = 2333783229
BaseRepresentation
bin110110110100…
…0010000011000
32000002001221000
41231220100120
524324113314
62503545000
7466162650
oct155502030
960061830
1028738584
11152497a6
12975b160
135c52aa4
143b61360
1527ca209
hex1b68418

28738584 has 128 divisors (see below), whose sum is σ = 92736000. Its totient is φ = 8076672.

The previous prime is 28738579. The next prime is 28738601. The reversal of 28738584 is 48583782.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125382 + ... + 125610.

It is an arithmetic number, because the mean of its divisors is an integer number (724500).

Almost surely, 228738584 is an apocalyptic number.

28738584 is a gapful number since it is divisible by the number (24) 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 28738584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46368000).

28738584 is an abundant number, since it is smaller than the sum of its proper divisors (63997416).

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

28738584 is a wasteful number, since it uses less digits than its factorization.

28738584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 28738584 is about 5360.8379941946. The cubic root of 28738584 is about 306.3057305768.

The spelling of 28738584 in words is "twenty-eight million, seven hundred thirty-eight thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 83 84 108 126 166 168 189 216 229 249 252 332 378 458 498 504 581 664 687 747 756 916 996 1162 1374 1494 1512 1603 1743 1832 1992 2061 2241 2324 2748 2988 3206 3486 4122 4482 4648 4809 5229 5496 5976 6183 6412 6972 8244 8964 9618 10458 12366 12824 13944 14427 15687 16488 17928 19007 19236 20916 24732 28854 31374 38014 38472 41832 43281 49464 57021 57708 62748 76028 86562 114042 115416 125496 133049 152056 171063 173124 228084 266098 342126 346248 399147 456168 513189 532196 684252 798294 1026378 1064392 1197441 1368504 1596588 2052756 2394882 3193176 3592323 4105512 4789764 7184646 9579528 14369292 28738584