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28186368 = 28373107
BaseRepresentation
bin110101110000…
…1011100000000
31222001000102120
41223201130000
524203430433
62444044240
7461403000
oct153413400
958030376
1028186368
1114a01921
129533680
135abb632
143a5a000
15271b7b3
hex1ae1700

28186368 has 144 divisors (see below), whose sum is σ = 88300800. Its totient is φ = 7977984.

The previous prime is 28186349. The next prime is 28186387. The reversal of 28186368 is 86368182.

It is an interprime number because it is at equal distance from previous prime (28186349) and next prime (28186387).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263371 + ... + 263477.

It is an arithmetic number, because the mean of its divisors is an integer number (613200).

Almost surely, 228186368 is an apocalyptic number.

28186368 is a gapful number since it is divisible by the number (28) 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 28186368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44150400).

28186368 is an abundant number, since it is smaller than the sum of its proper divisors (60114432).

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

28186368 is an equidigital number, since it uses as much as digits as its factorization.

28186368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 28186368 is about 5309.0835367321. The cubic root of 28186368 is about 304.3311258083.

The spelling of 28186368 in words is "twenty-eight million, one hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 107 112 128 147 168 192 196 214 224 256 294 321 336 343 384 392 428 448 588 642 672 686 749 768 784 856 896 1029 1176 1284 1344 1372 1498 1568 1712 1792 2058 2247 2352 2568 2688 2744 2996 3136 3424 4116 4494 4704 5136 5243 5376 5488 5992 6272 6848 8232 8988 9408 10272 10486 10976 11984 12544 13696 15729 16464 17976 18816 20544 20972 21952 23968 27392 31458 32928 35952 36701 37632 41088 41944 43904 47936 62916 65856 71904 73402 82176 83888 87808 95872 110103 125832 131712 143808 146804 167776 191744 220206 251664 263424 287616 293608 335552 440412 503328 575232 587216 671104 880824 1006656 1174432 1342208 1761648 2013312 2348864 3523296 4026624 4697728 7046592 9395456 14093184 28186368