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28743660 = 22345111613
BaseRepresentation
bin110110110100…
…1011111101100
32000002022220000
41231221133230
524324244120
62504024300
7466213521
oct155513754
960068800
1028743660
11152525a0
129762090
135c551aa
143b63148
1527cb990
hex1b697ec

28743660 has 120 divisors (see below), whose sum is σ = 98428176. Its totient is φ = 6963840.

The previous prime is 28743653. The next prime is 28743661. The reversal of 28743660 is 6634782.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28743661) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17014 + ... + 18626.

Almost surely, 228743660 is an apocalyptic number.

28743660 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 28743660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49214088).

28743660 is an abundant number, since it is smaller than the sum of its proper divisors (69684516).

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

28743660 is a wasteful number, since it uses less digits than its factorization.

28743660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 28743660 is about 5361.3114067362. The cubic root of 28743660 is about 306.3237634342.

It can be divided in two parts, 287436 and 60, that added together give a cube (287496 = 663).

The spelling of 28743660 in words is "twenty-eight million, seven hundred forty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1613 1620 1782 1980 2970 3226 3564 4455 4839 5940 6452 8065 8910 9678 14517 16130 17743 17820 19356 24195 29034 32260 35486 43551 48390 53229 58068 70972 72585 87102 88715 96780 106458 130653 145170 159687 174204 177430 212916 217755 261306 266145 290340 319374 354860 435510 479061 522612 532290 638748 653265 798435 871020 958122 1064580 1306530 1437183 1596870 1916244 2395305 2613060 2874366 3193740 4790610 5748732 7185915 9581220 14371830 28743660