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28038378688 = 2667109239251
BaseRepresentation
bin11010000111001101…
…111011010011000000
32200101001011012210221
4122013031323103000
5424410311104223
620514115432424
72011550200165
oct320715732300
980331135727
1028038378688
1110988a2a9a1
125525bb5714
13284ab67628
1414ddb0006c
15ae17e7b5d
hex68737b4c0

28038378688 has 112 divisors (see below), whose sum is σ = 57453580800. Its totient is φ = 13571712000.

The previous prime is 28038378671. The next prime is 28038378691. The reversal of 28038378688 is 88687383082.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111706563 + ... + 111706813.

It is an arithmetic number, because the mean of its divisors is an integer number (512978400).

Almost surely, 228038378688 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 28038378688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28726790400).

28038378688 is an abundant number, since it is smaller than the sum of its proper divisors (29415202112).

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

28038378688 is a wasteful number, since it uses less digits than its factorization.

28038378688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 61.

The spelling of 28038378688 in words is "twenty-eight billion, thirty-eight million, three hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 67 109 134 218 239 251 268 436 478 502 536 872 956 1004 1072 1744 1912 2008 2144 3488 3824 4016 4288 6976 7303 7648 8032 14606 15296 16013 16064 16817 26051 27359 29212 32026 33634 52102 54718 58424 59989 64052 67268 104204 109436 116848 119978 128104 134536 208408 218872 233696 239956 256208 269072 416816 437744 467392 479912 512416 538144 833632 875488 959824 1024832 1076288 1667264 1745417 1750976 1833053 1919648 3490834 3666106 3839296 4019263 6538801 6981668 7332212 8038526 13077602 13963336 14664424 16077052 26155204 27926672 29328848 32154104 52310408 55853344 58657696 64308208 104620816 111706688 117315392 128616416 209241632 257232832 418483264 438099667 876199334 1752398668 3504797336 7009594672 14019189344 28038378688