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28551936 = 283747113
BaseRepresentation
bin110110011101…
…0101100000000
31222201120220010
41230322230000
524302130221
62455544520
7464454540
oct154725400
958646803
1028551936
1115131546
12968b140
135bb8b4a
143b13320
15278ec76
hex1b3ab00

28551936 has 144 divisors (see below), whose sum is σ = 89478144. Its totient is φ = 7913472.

The previous prime is 28551911. The next prime is 28551937. The reversal of 28551936 is 63915582.

It is a junction number, because it is equal to n+sod(n) for n = 28551894 and 28551903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28551937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252616 + ... + 252728.

It is an arithmetic number, because the mean of its divisors is an integer number (621376).

Almost surely, 228551936 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 28551936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44739072).

28551936 is an abundant number, since it is smaller than the sum of its proper divisors (60926208).

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

28551936 is a wasteful number, since it uses less digits than its factorization.

28551936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 28551936 is about 5343.4011640527. The cubic root of 28551936 is about 305.6411702252.

The spelling of 28551936 in words is "twenty-eight million, five hundred fifty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 113 128 141 168 188 192 224 226 256 282 329 336 339 376 384 448 452 564 658 672 678 752 768 791 896 904 987 1128 1316 1344 1356 1504 1582 1792 1808 1974 2256 2373 2632 2688 2712 3008 3164 3616 3948 4512 4746 5264 5311 5376 5424 6016 6328 7232 7896 9024 9492 10528 10622 10848 12032 12656 14464 15792 15933 18048 18984 21056 21244 21696 25312 28928 31584 31866 36096 37177 37968 42112 42488 43392 50624 63168 63732 74354 75936 84224 84976 86784 101248 111531 126336 127464 148708 151872 169952 202496 223062 252672 254928 297416 303744 339904 446124 509856 594832 607488 679808 892248 1019712 1189664 1359616 1784496 2039424 2379328 3568992 4078848 4758656 7137984 9517312 14275968 28551936