Search a number
-
+
28189560 = 2335737907
BaseRepresentation
bin110101110001…
…0001101111000
31222001011210210
41223202031320
524204031220
62444111120
7461415210
oct153421570
958034723
1028189560
1114a04263
1295354a0
135abcc19
143a5b240
15271c6e0
hex1ae2378

28189560 has 128 divisors (see below), whose sum is σ = 99371520. Its totient is φ = 6262272.

The previous prime is 28189543. The next prime is 28189583. The reversal of 28189560 is 6598182.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30627 + ... + 31533.

It is an arithmetic number, because the mean of its divisors is an integer number (776340).

Almost surely, 228189560 is an apocalyptic number.

28189560 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 28189560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49685760).

28189560 is an abundant number, since it is smaller than the sum of its proper divisors (71181960).

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

28189560 is a wasteful number, since it uses less digits than its factorization.

28189560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 28189560 is about 5309.3841450775. The cubic root of 28189560 is about 304.3426134925.

The spelling of 28189560 in words is "twenty-eight million, one hundred eighty-nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 907 1036 1110 1295 1480 1554 1814 2072 2220 2590 2721 3108 3628 3885 4440 4535 5180 5442 6216 6349 7256 7770 9070 10360 10884 12698 13605 15540 18140 19047 21768 25396 27210 31080 31745 33559 36280 38094 50792 54420 63490 67118 76188 95235 100677 108840 126980 134236 152376 167795 190470 201354 234913 253960 268472 335590 380940 402708 469826 503385 671180 704739 761880 805416 939652 1006770 1174565 1342360 1409478 1879304 2013540 2349130 2818956 3523695 4027080 4698260 5637912 7047390 9396520 14094780 28189560