Search a number
-
+
28926148410 = 23351732232777
BaseRepresentation
bin11010111100001000…
…011111111100111010
32202122220122120221000
4122330020133330322
5433220043222120
621142151425430
72042550130125
oct327410377472
982586576830
1028926148410
11112a4069485
125733385276
13295ca6b263
1415859953bc
15b4470a990
hex6bc21ff3a

28926148410 has 128 divisors (see below), whose sum is σ = 77958236160. Its totient is φ = 7631912448.

The previous prime is 28926148387. The next prime is 28926148417. The reversal of 28926148410 is 1484162982.

28926148410 is a `hidden beast` number, since 2 + 8 + 92 + 6 + 148 + 410 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28926148417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10414942 + ... + 10417718.

It is an arithmetic number, because the mean of its divisors is an integer number (609048720).

Almost surely, 228926148410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28926148410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38979118080).

28926148410 is an abundant number, since it is smaller than the sum of its proper divisors (49032087750).

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

28926148410 is a wasteful number, since it uses less digits than its factorization.

28926148410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 28926148410 in words is "twenty-eight billion, nine hundred twenty-six million, one hundred forty-eight thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 173 223 270 346 446 519 669 865 1038 1115 1338 1557 1730 2007 2230 2595 2777 3114 3345 4014 4671 5190 5554 6021 6690 7785 8331 9342 10035 12042 13885 15570 16662 20070 23355 24993 27770 30105 38579 41655 46710 49986 60210 74979 77158 83310 115737 124965 149958 192895 231474 249930 347211 374895 385790 480421 578685 619271 694422 749790 960842 1041633 1157370 1238542 1441263 1736055 1857813 2083266 2402105 2882526 3096355 3472110 3715626 4323789 4804210 5208165 5573439 6192710 7206315 8647578 9289065 10416330 11146878 12971367 14412630 16720317 18578130 21618945 25942734 27867195 33440634 43237890 55734390 64856835 83601585 107133883 129713670 167203170 214267766 321401649 535669415 642803298 964204947 1071338830 1607008245 1928409894 2892614841 3214016490 4821024735 5785229682 9642049470 14463074205 28926148410