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28268240 = 24571113353
BaseRepresentation
bin110101111010…
…1011011010000
31222012011201212
41223311123100
524214040430
62445515252
7462163460
oct153653320
958164655
1028268240
1114a58390
129572b28
135b19990
143a7bba0
152735b95
hex1af56d0

28268240 has 160 divisors (see below), whose sum is σ = 88494336. Its totient is φ = 8110080.

The previous prime is 28268237. The next prime is 28268267. The reversal of 28268240 is 4286282.

28268240 = 882 + 892 + ... + 4402.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 28268197 and 28268206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79904 + ... + 80256.

Almost surely, 228268240 is an apocalyptic number.

28268240 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 28268240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44247168).

28268240 is an abundant number, since it is smaller than the sum of its proper divisors (60226096).

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

28268240 is a wasteful number, since it uses less digits than its factorization.

28268240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 28268240 is about 5316.7885043511. The cubic root of 28268240 is about 304.6255011173.

The spelling of 28268240 in words is "twenty-eight million, two hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 353 364 385 440 455 520 560 572 616 706 715 728 770 880 910 1001 1040 1144 1232 1412 1430 1456 1540 1765 1820 2002 2288 2471 2824 2860 3080 3530 3640 3883 4004 4589 4942 5005 5648 5720 6160 7060 7280 7766 8008 9178 9884 10010 11440 12355 14120 15532 16016 18356 19415 19768 20020 22945 24710 27181 28240 31064 32123 36712 38830 39536 40040 45890 49420 50479 54362 62128 64246 73424 77660 80080 91780 98840 100958 108724 128492 135905 155320 160615 183560 197680 201916 217448 252395 256984 271810 310640 321230 353353 367120 403832 434896 504790 513968 543620 642460 706706 807664 1009580 1087240 1284920 1413412 1766765 2019160 2174480 2569840 2826824 3533530 4038320 5653648 7067060 14134120 28268240