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28285740 = 22335721069
BaseRepresentation
bin110101111100…
…1101100101100
31222020001202000
41223321230230
524220120430
62450132300
7462265500
oct153715454
958201660
1028285740
1114a6a54a
129581090
135b24932
143a84300
15273ae60
hex1af9b2c

28285740 has 144 divisors (see below), whose sum is σ = 102463200. Its totient is φ = 6459264.

The previous prime is 28285711. The next prime is 28285753. The reversal of 28285740 is 4758282.

It is a happy number.

28285740 is a `hidden beast` number, since 2 + 82 + 8 + 574 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28285695 and 28285704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25926 + ... + 26994.

It is an arithmetic number, because the mean of its divisors is an integer number (711550).

Almost surely, 228285740 is an apocalyptic number.

28285740 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 28285740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51231600).

28285740 is an abundant number, since it is smaller than the sum of its proper divisors (74177460).

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

28285740 is a wasteful number, since it uses less digits than its factorization.

28285740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 28285740 is about 5318.4339800359. The cubic root of 28285740 is about 304.6883495834.

The spelling of 28285740 in words is "twenty-eight million, two hundred eighty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1069 1260 1323 1470 1764 1890 2138 2205 2646 2940 3207 3780 4276 4410 5292 5345 6414 6615 7483 8820 9621 10690 12828 13230 14966 16035 19242 21380 22449 26460 28863 29932 32070 37415 38484 44898 48105 52381 57726 64140 67347 74830 89796 96210 104762 112245 115452 134694 144315 149660 157143 192420 202041 209524 224490 261905 269388 288630 314286 336735 404082 448980 471429 523810 577260 628572 673470 785715 808164 942858 1010205 1047620 1346940 1414287 1571430 1885716 2020410 2357145 2828574 3142860 4040820 4714290 5657148 7071435 9428580 14142870 28285740