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28656540 = 223251141353
BaseRepresentation
bin110110101010…
…0001110011100
31222220220101100
41231110032130
524314002130
62502113100
7465401523
oct155241634
958826340
1028656540
11151a30a0
12971b790
135c24643
143b3d4ba
1527b0c60
hex1b5439c

28656540 has 144 divisors (see below), whose sum is σ = 97415136. Its totient is φ = 6758400.

The previous prime is 28656491. The next prime is 28656571. The reversal of 28656540 is 4565682.

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 = 28656495 and 28656504.

It is a congruent number.

It is an unprimeable number.

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, 81004 + ... + 81356.

It is an arithmetic number, because the mean of its divisors is an integer number (676494).

Almost surely, 228656540 is an apocalyptic number.

28656540 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 28656540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48707568).

28656540 is an abundant number, since it is smaller than the sum of its proper divisors (68758596).

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

28656540 is a wasteful number, since it uses less digits than its factorization.

28656540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 28656540 is about 5353.1803631113. The cubic root of 28656540 is about 306.0139683486.

The spelling of 28656540 in words is "twenty-eight million, six hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 330 353 369 396 410 451 492 495 615 660 706 738 820 902 990 1059 1230 1353 1412 1476 1765 1804 1845 1980 2118 2255 2460 2706 3177 3530 3690 3883 4059 4236 4510 5295 5412 6354 6765 7060 7380 7766 8118 9020 10590 11649 12708 13530 14473 15532 15885 16236 19415 20295 21180 23298 27060 28946 31770 34947 38830 40590 43419 46596 57892 58245 63540 69894 72365 77660 81180 86838 116490 130257 139788 144730 159203 173676 174735 217095 232980 260514 289460 318406 349470 434190 477609 521028 636812 651285 698940 796015 868380 955218 1302570 1432827 1592030 1910436 2388045 2605140 2865654 3184060 4776090 5731308 7164135 9552180 14328270 28656540