Search a number
-
+
28055679808 = 26131011372437
BaseRepresentation
bin11010001000001111…
…111011001101000000
32200102020201012111011
4122020033323031000
5424424223223213
620515534330304
72012150225602
oct321017731500
980366635434
1028055679808
1110997777542
12552b959994
132851614490
141502125172
15ae30b403d
hex6883fb340

28055679808 has 112 divisors (see below), whose sum is σ = 61016138064. Its totient is φ = 12721766400.

The previous prime is 28055679787. The next prime is 28055679809. The reversal of 28055679808 is 80897655082.

It can be written as a sum of positive squares in 8 ways, for example, as 4509391104 + 23546288704 = 67152^2 + 153448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28055679809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11511166 + ... + 11513602.

It is an arithmetic number, because the mean of its divisors is an integer number (544786947).

Almost surely, 228055679808 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 28055679808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30508069032).

28055679808 is an abundant number, since it is smaller than the sum of its proper divisors (32960458256).

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

28055679808 is a wasteful number, since it uses less digits than its factorization.

28055679808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 58.

The spelling of 28055679808 in words is "twenty-eight billion, fifty-five million, six hundred seventy-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 137 202 208 274 404 416 548 808 832 1096 1313 1616 1781 2192 2437 2626 3232 3562 4384 4874 5252 6464 7124 8768 9748 10504 13837 14248 19496 21008 27674 28496 31681 38992 42016 55348 56992 63362 77984 84032 110696 113984 126724 155968 179881 221392 246137 253448 333869 359762 442784 492274 506896 667738 719524 885568 984548 1013792 1335476 1439048 1969096 2027584 2670952 2878096 3199781 3938192 4340297 5341904 5756192 6399562 7876384 8680594 10683808 11512384 12799124 15752768 17361188 21367616 25598248 33720769 34722376 51196496 67441538 69444752 102392992 134883076 138889504 204785984 269766152 277779008 438369997 539532304 876739994 1079064608 1753479988 2158129216 3506959976 7013919952 14027839904 28055679808