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28105000 = 235471173
BaseRepresentation
bin110101100110…
…1100100101000
31221212212210221
41223031210220
524143330000
62442215424
7460613530
oct153154450
957785727
1028105000
1114956780
1294b4574
135a905a1
143a384c0
15270261a
hex1acd928

28105000 has 160 divisors (see below), whose sum is σ = 83223360. Its totient is φ = 8640000.

The previous prime is 28104997. The next prime is 28105001. The reversal of 28105000 is 50182.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (28105001) 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, 384964 + ... + 385036.

It is an arithmetic number, because the mean of its divisors is an integer number (520146).

Almost surely, 228105000 is an apocalyptic number.

28105000 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 28105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41611680).

28105000 is an abundant number, since it is smaller than the sum of its proper divisors (55118360).

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

28105000 is a wasteful number, since it uses less digits than its factorization.

28105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 28105000 is about 5301.4149054757. The cubic root of 28105000 is about 304.0379973280.

Adding to 28105000 its reverse (50182), we get a palindrome (28155182).

The spelling of 28105000 in words is "twenty-eight million, one hundred five thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 73 77 88 100 110 125 140 146 154 175 200 220 250 275 280 292 308 350 365 385 440 500 511 550 584 616 625 700 730 770 803 875 1000 1022 1100 1250 1375 1400 1460 1540 1606 1750 1825 1925 2044 2200 2500 2555 2750 2920 3080 3212 3500 3650 3850 4015 4088 4375 5000 5110 5500 5621 6424 6875 7000 7300 7700 8030 8750 9125 9625 10220 11000 11242 12775 13750 14600 15400 16060 17500 18250 19250 20075 20440 22484 25550 27500 28105 32120 35000 36500 38500 40150 44968 45625 48125 51100 55000 56210 63875 73000 77000 80300 91250 96250 100375 102200 112420 127750 140525 160600 182500 192500 200750 224840 255500 281050 319375 365000 385000 401500 501875 511000 562100 638750 702625 803000 1003750 1124200 1277500 1405250 2007500 2555000 2810500 3513125 4015000 5621000 7026250 14052500 28105000