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28515568256 = 2771718110343
BaseRepresentation
bin11010100011101010…
…010000101010000000
32201121022001221211122
4122203222100222000
5431344441141011
621033323331412
72026433221340
oct324352205200
981538057748
1028515568256
111110332753a
125639980b68
1328c5994016
141547238d20
15b1d6573db
hex6a3a90a80

28515568256 has 128 divisors (see below), whose sum is σ = 69129365760. Its totient is φ = 11437424640.

The previous prime is 28515568241. The next prime is 28515568261. The reversal of 28515568256 is 65286551582.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 28515568198 and 28515568207.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2751821 + ... + 2762163.

It is an arithmetic number, because the mean of its divisors is an integer number (540073170).

Almost surely, 228515568256 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 28515568256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34564682880).

28515568256 is an abundant number, since it is smaller than the sum of its proper divisors (40613797504).

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

28515568256 is a wasteful number, since it uses less digits than its factorization.

28515568256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10562 (or 10550 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 53.

The spelling of 28515568256 in words is "twenty-eight billion, five hundred fifteen million, five hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 181 224 238 272 362 448 476 544 724 896 952 1088 1267 1448 1904 2176 2534 2896 3077 3808 5068 5792 6154 7616 10136 10343 11584 12308 15232 20272 20686 21539 23168 24616 40544 41372 43078 49232 72401 81088 82744 86156 98464 144802 162176 165488 172312 175831 196928 289604 330976 344624 351662 393856 579208 661952 689248 703324 1158416 1230817 1323904 1378496 1406648 1872083 2316832 2461634 2756992 2813296 3744166 4633664 4923268 5626592 7488332 9267328 9846536 11253184 13104581 14976664 19693072 22506368 26209162 29953328 31825411 39386144 52418324 59906656 63650822 78772288 104836648 119813312 127301644 157544576 209673296 222777877 239626624 254603288 419346592 445555754 509206576 838693184 891111508 1018413152 1677386368 1782223016 2036826304 3564446032 4073652608 7128892064 14257784128 28515568256