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28665504 = 2532759241
BaseRepresentation
bin110110101011…
…0011010100000
31222221100200100
41231112122200
524314244004
62502222400
7465436620
oct155263240
958840610
1028665504
11151a98aa
129724a00
135c2874a
143b42880
1527b3739
hex1b566a0

28665504 has 144 divisors (see below), whose sum is σ = 95135040. Its totient is φ = 8017920.

The previous prime is 28665503. The next prime is 28665529. The reversal of 28665504 is 40556682.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×286655042 = 1643422239148032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28665503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118824 + ... + 119064.

It is an arithmetic number, because the mean of its divisors is an integer number (660660).

Almost surely, 228665504 is an apocalyptic number.

28665504 is a gapful number since it is divisible by the number (24) 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 28665504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47567520).

28665504 is an abundant number, since it is smaller than the sum of its proper divisors (66469536).

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

28665504 is a wasteful number, since it uses less digits than its factorization.

28665504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

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

The square root of 28665504 is about 5354.0175569380. The cubic root of 28665504 is about 306.0458729126.

The spelling of 28665504 in words is "twenty-eight million, six hundred sixty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 59 63 72 84 96 112 118 126 144 168 177 224 236 241 252 288 336 354 413 472 482 504 531 672 708 723 826 944 964 1008 1062 1239 1416 1446 1652 1687 1888 1928 2016 2124 2169 2478 2832 2892 3304 3374 3717 3856 4248 4338 4956 5061 5664 5784 6608 6748 7434 7712 8496 8676 9912 10122 11568 13216 13496 14219 14868 15183 16992 17352 19824 20244 23136 26992 28438 29736 30366 34704 39648 40488 42657 53984 56876 59472 60732 69408 80976 85314 99533 113752 118944 121464 127971 161952 170628 199066 227504 242928 255942 298599 341256 398132 455008 485856 511884 597198 682512 796264 895797 1023768 1194396 1365024 1592528 1791594 2047536 2388792 3185056 3583188 4095072 4777584 7166376 9555168 14332752 28665504