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28754208 = 2532717839
BaseRepresentation
bin110110110110…
…0000100100000
32000002212100200
41231230010200
524330113313
62504145200
7466256340
oct155540440
960085320
1028754208
111525a50a
129768200
135c59c32
143b66d20
1527ceb73
hex1b6c120

28754208 has 144 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 7723008.

The previous prime is 28754153. The next prime is 28754213. The reversal of 28754208 is 80245782.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33853 + ... + 34691.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 228754208 is an apocalyptic number.

28754208 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 28754208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

28754208 is an abundant number, since it is smaller than the sum of its proper divisors (70312032).

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

28754208 is a wasteful number, since it uses less digits than its factorization.

28754208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 28754208 is about 5362.2950310478. The cubic root of 28754208 is about 306.3612291791.

The spelling of 28754208 in words is "twenty-eight million, seven hundred fifty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 839 952 1008 1071 1224 1428 1632 1678 1904 2016 2142 2448 2517 2856 3356 3808 4284 4896 5034 5712 5873 6712 7551 8568 10068 11424 11746 13424 14263 15102 17136 17619 20136 23492 26848 28526 30204 34272 35238 40272 42789 46984 52857 57052 60408 70476 80544 85578 93968 99841 105714 114104 120816 128367 140952 171156 187936 199682 211428 228208 241632 256734 281904 299523 342312 399364 422856 456416 513468 563808 599046 684624 798728 845712 898569 1026936 1198092 1369248 1597456 1691424 1797138 2053872 2396184 3194912 3594276 4107744 4792368 7188552 9584736 14377104 28754208