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28634638050 = 2345226592
BaseRepresentation
bin11010101010110000…
…011110011011100010
32201220121010022220000
4122222300132123202
5432120431404200
621053215400430
72032410256524
oct325260363342
981817108800
1028634638050
1111164563427
125671823116
132914553715
141558d91a14
15b28d27300
hex6aac1e6e2

28634638050 has 90 divisors (see below), whose sum is σ = 79591805073. Its totient is φ = 7633031760.

The previous prime is 28634638027. The next prime is 28634638063. The reversal of 28634638050 is 5083643682.

It is a happy number.

28634638050 is a `hidden beast` number, since 2 + 8 + 6 + 3 + 4 + 638 + 0 + 5 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28061945289 + 572692761 = 167517^2 + 23931^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=119655.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 28634637987 and 28634638005.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10767621 + ... + 10770279.

Almost surely, 228634638050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28634638050

28634638050 is an abundant number, since it is smaller than the sum of its proper divisors (50957167023).

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

28634638050 is an frugal number, since it uses more digits than its factorization.

28634638050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 28634638050 in words is "twenty-eight billion, six hundred thirty-four million, six hundred thirty-eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 2659 4050 5318 7977 13295 15954 23931 26590 39885 47862 66475 71793 79770 119655 132950 143586 199425 215379 239310 358965 398850 430758 598275 717930 1076895 1196550 1794825 2153790 3589650 5384475 7070281 10768950 14140562 21210843 35351405 42421686 63632529 70702810 106054215 127265058 176757025 190897587 212108430 318162645 353514050 381795174 530271075 572692761 636325290 954487935 1060542150 1145385522 1590813225 1908975870 2863463805 3181626450 4772439675 5726927610 9544879350 14317319025 28634638050