Search a number
-
+
28385674920 = 23325653120749
BaseRepresentation
bin11010011011111010…
…110000011010101000
32201021020122200200100
4122123322300122220
5431113213044140
621012403305400
72023265153511
oct323372603250
981236580610
1028385674920
1111046a78779
12560237b260
1328a4ab4c65
141533ca5a08
15b1204a530
hex69beb06a8

28385674920 has 96 divisors (see below), whose sum is σ = 92395485000. Its totient is φ = 7557858816.

The previous prime is 28385674907. The next prime is 28385674973. The reversal of 28385674920 is 2947658382.

28385674920 is a `hidden beast` number, since 2 + 8 + 38 + 567 + 49 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17141617476 + 11244057444 = 130926^2 + 106038^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174706 + ... + 295454.

Almost surely, 228385674920 is an apocalyptic number.

28385674920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28385674920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46197742500).

28385674920 is an abundant number, since it is smaller than the sum of its proper divisors (64009810080).

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

28385674920 is a wasteful number, since it uses less digits than its factorization.

28385674920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121419 (or 121412 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 28385674920 in words is "twenty-eight billion, three hundred eighty-five million, six hundred seventy-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 653 1306 1959 2612 3265 3918 5224 5877 6530 7836 9795 11754 13060 15672 19590 23508 26120 29385 39180 47016 58770 78360 117540 120749 235080 241498 362247 482996 603745 724494 965992 1086741 1207490 1448988 1811235 2173482 2414980 2897976 3622470 4346964 4829960 5433705 7244940 8693928 10867410 14489880 21734820 43469640 78849097 157698194 236547291 315396388 394245485 473094582 630792776 709641873 788490970 946189164 1182736455 1419283746 1576981940 1892378328 2365472910 2838567492 3153963880 3548209365 4730945820 5677134984 7096418730 9461891640 14192837460 28385674920