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28295820 = 223257171321
BaseRepresentation
bin110101111110…
…0001010001100
31222020120120100
41223330022030
524220431240
62450251100
7462340050
oct153741214
958216510
1028295820
1114a77083
129586a90
135b293b7
143a87c60
15273de30
hex1afc28c

28295820 has 144 divisors (see below), whose sum is σ = 103940928. Its totient is φ = 6082560.

The previous prime is 28295789. The next prime is 28295821. The reversal of 28295820 is 2859282.

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 (28295821) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20760 + ... + 22080.

It is an arithmetic number, because the mean of its divisors is an integer number (721812).

Almost surely, 228295820 is an apocalyptic number.

28295820 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 28295820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51970464).

28295820 is an abundant number, since it is smaller than the sum of its proper divisors (75645108).

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

28295820 is a wasteful number, since it uses less digits than its factorization.

28295820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 28295820 is about 5319.3815429991. The cubic root of 28295820 is about 304.7245385348.

It can be divided in two parts, 2829 and 5820, that added together give a square (8649 = 932).

The spelling of 28295820 in words is "twenty-eight million, two hundred ninety-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1321 1428 1530 1785 2142 2380 2642 3060 3570 3963 4284 5284 5355 6605 7140 7926 9247 10710 11889 13210 15852 18494 19815 21420 22457 23778 26420 27741 36988 39630 44914 46235 47556 55482 59445 67371 79260 83223 89828 92470 110964 112285 118890 134742 138705 157199 166446 184940 202113 224570 237780 269484 277410 314398 332892 336855 404226 416115 449140 471597 554820 628796 673710 785995 808452 832230 943194 1010565 1347420 1414791 1571990 1664460 1886388 2021130 2357985 2829582 3143980 4042260 4715970 5659164 7073955 9431940 14147910 28295820