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28033560 = 23335101257
BaseRepresentation
bin110101011110…
…0001000011000
31221202020211000
41222330020120
524134033220
62440505000
7460165332
oct152741030
957666730
1028033560
1114908035
12947b160
135a66c09
143a1a452
1526db390
hex1abc218

28033560 has 128 divisors (see below), whose sum is σ = 94737600. Its totient is φ = 7372800.

The previous prime is 28033547. The next prime is 28033567. The reversal of 28033560 is 6533082.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28033567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108952 + ... + 109208.

Almost surely, 228033560 is an apocalyptic number.

28033560 is a gapful number since it is divisible by the number (20) 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 28033560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47368800).

28033560 is an abundant number, since it is smaller than the sum of its proper divisors (66704040).

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

28033560 is a wasteful number, since it uses less digits than its factorization.

28033560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 28033560 is about 5294.6727944227. The cubic root of 28033560 is about 303.7801677094.

The spelling of 28033560 in words is "twenty-eight million, thirty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 101 108 120 135 180 202 216 257 270 303 360 404 505 514 540 606 771 808 909 1010 1028 1080 1212 1285 1515 1542 1818 2020 2056 2313 2424 2570 2727 3030 3084 3636 3855 4040 4545 4626 5140 5454 6060 6168 6939 7272 7710 9090 9252 10280 10908 11565 12120 13635 13878 15420 18180 18504 21816 23130 25957 27270 27756 30840 34695 36360 46260 51914 54540 55512 69390 77871 92520 103828 109080 129785 138780 155742 207656 233613 259570 277560 311484 389355 467226 519140 622968 700839 778710 934452 1038280 1168065 1401678 1557420 1868904 2336130 2803356 3114840 3504195 4672260 5606712 7008390 9344520 14016780 28033560