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28482168 = 233111343193
BaseRepresentation
bin110110010100…
…1101001111000
31222121001012010
41230221221320
524242412133
62454245520
7464044251
oct154515170
958531163
1028482168
1115094090
1296568a0
135b93170
143ad5b28
152779263
hex1b29a78

28482168 has 128 divisors (see below), whose sum is σ = 86042880. Its totient is φ = 7741440.

The previous prime is 28482161. The next prime is 28482187. The reversal of 28482168 is 86128482.

It is a super-2 number, since 2×284821682 = 1622467787960448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28482161) 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 31 ways as a sum of consecutive naturals, for example, 147480 + ... + 147672.

It is an arithmetic number, because the mean of its divisors is an integer number (672210).

Almost surely, 228482168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28482168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43021440).

28482168 is an abundant number, since it is smaller than the sum of its proper divisors (57560712).

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

28482168 is a wasteful number, since it uses less digits than its factorization.

28482168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 28482168 is about 5336.8687448728. The cubic root of 28482168 is about 305.3920176459.

The spelling of 28482168 in words is "twenty-eight million, four hundred eighty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 43 44 52 66 78 86 88 104 129 132 143 156 172 193 258 264 286 312 344 386 429 473 516 559 572 579 772 858 946 1032 1118 1144 1158 1419 1544 1677 1716 1892 2123 2236 2316 2509 2838 3354 3432 3784 4246 4472 4632 5018 5676 6149 6369 6708 7527 8299 8492 10036 11352 12298 12738 13416 15054 16598 16984 18447 20072 24596 24897 25476 27599 30108 33196 36894 49192 49794 50952 55198 60216 66392 73788 82797 91289 99588 107887 110396 147576 165594 182578 199176 215774 220792 273867 323661 331188 365156 431548 547734 647322 662376 730312 863096 1095468 1186757 1294644 2190936 2373514 2589288 3560271 4747028 7120542 9494056 14241084 28482168