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28923365790 = 23451119170851
BaseRepresentation
bin11010111011111101…
…111000100110011110
32202122201102012220000
4122323331320212132
5433213340201130
621142012035130
72042514360414
oct327375704636
982581365800
1028923365790
11112a25388a0
125732462aa6
13295c305837
14158546d2b4
15b4435b260
hex6bbf7899e

28923365790 has 160 divisors (see below), whose sum is σ = 89307757440. Its totient is φ = 6642648000.

The previous prime is 28923365773. The next prime is 28923365797. The reversal of 28923365790 is 9756332982.

It is a happy number.

28923365790 is a `hidden beast` number, since 289 + 233 + 65 + 79 + 0 = 666.

It is a super-2 number, since 2×289233657902 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28923365797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83865 + ... + 254715.

It is an arithmetic number, because the mean of its divisors is an integer number (558173484).

Almost surely, 228923365790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28923365790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44653878720).

28923365790 is an abundant number, since it is smaller than the sum of its proper divisors (60384391650).

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

28923365790 is a wasteful number, since it uses less digits than its factorization.

28923365790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170900 (or 170891 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 28923365790 in words is "twenty-eight billion, nine hundred twenty-three million, three hundred sixty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 27 30 33 38 45 54 55 57 66 81 90 95 99 110 114 135 162 165 171 190 198 209 270 285 297 330 342 405 418 495 513 570 594 627 810 855 891 990 1026 1045 1254 1485 1539 1710 1782 1881 2090 2565 2970 3078 3135 3762 4455 5130 5643 6270 7695 8910 9405 11286 15390 16929 18810 28215 33858 56430 84645 169290 170851 341702 512553 854255 1025106 1537659 1708510 1879361 2562765 3075318 3246169 3758722 4612977 5125530 5638083 6492338 7688295 9225954 9396805 9738507 11276166 13838931 15376590 16230845 16914249 18793610 19477014 23064885 27677862 28190415 29215521 32461690 33828498 35707859 46129770 48692535 50742747 56380830 58431042 69194655 71415718 84571245 87646563 97385070 101485494 107123577 138389310 146077605 152228241 169142490 175293126 178539295 214247154 253713735 262939689 292155210 304456482 321370731 357078590 438232815 507427470 525879378 535617885 642741462 761141205 876465630 964112193 1071235770 1314698445 1522282410 1606853655 1928224386 2629396890 2892336579 3213707310 4820560965 5784673158 9641121930 14461682895 28923365790