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28384162576 = 24721125472
BaseRepresentation
bin11010011011110100…
…111111001100010000
32201021010210212010121
4122123310333030100
5431112321200301
621012311040024
72023246254400
oct323364771420
981233725117
1028384162576
1111046135500
125601970014
1328a46a5793
1415339d0800
15b11d4c3a1
hex69bd3f310

28384162576 has 135 divisors (see below), whose sum is σ = 70446192327. Its totient is φ = 11038547520.

The previous prime is 28384162553. The next prime is 28384162579. The reversal of 28384162576 is 67526148382.

The square root of 28384162576 is 168476.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (28384162579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51890335 + ... + 51890881.

Almost surely, 228384162576 is an apocalyptic number.

28384162576 is the 168476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28384162576

28384162576 is an abundant number, since it is smaller than the sum of its proper divisors (42062029751).

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

28384162576 is an equidigital number, since it uses as much as digits as its factorization.

28384162576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 567 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 52.

The spelling of 28384162576 in words is "twenty-eight billion, three hundred eighty-four million, one hundred sixty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 484 539 547 616 784 847 968 1078 1094 1232 1694 1936 2156 2188 3388 3829 4312 4376 5929 6017 6776 7658 8624 8752 11858 12034 13552 15316 23716 24068 26803 30632 42119 47432 48136 53606 61264 66187 84238 94864 96272 107212 132374 168476 214424 264748 294833 299209 336952 428848 463309 529496 589666 598418 673904 926618 1058992 1179332 1196836 1853236 2094463 2358664 2393672 3243163 3291299 3706472 4188926 4717328 4787344 6486326 6582598 7412944 8377852 12972652 13165196 14661241 16755704 23039093 25945304 26330392 29322482 33511408 36204289 46078186 51890608 52660784 58644964 72408578 92156372 117289928 144817156 161273651 184312744 234579856 253430023 289634312 322547302 368625488 506860046 579268624 645094604 1013720092 1290189208 1774010161 2027440184 2580378416 3548020322 4054880368 7096040644 14192081288 28384162576