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28067763900 = 223521114815743
BaseRepresentation
bin11010001000111110…
…000001011010111100
32200110002110010202010
4122020332001122330
5424440321421100
620521045331220
72012355025311
oct321076013274
980402403663
1028067763900
11109a35804a0
125533a06b10
132853c85827
14150398cd08
15ae419e750
hex688f816bc

28067763900 has 144 divisors (see below), whose sum is σ = 88667324928. Its totient is φ = 6798528000.

The previous prime is 28067763853. The next prime is 28067763917. The reversal of 28067763900 is 936776082.

It is a super-2 number, since 2×280677639002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28067763900.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4884429 + ... + 4890171.

It is an arithmetic number, because the mean of its divisors is an integer number (615745312).

Almost surely, 228067763900 is an apocalyptic number.

28067763900 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 28067763900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44333662464).

28067763900 is an abundant number, since it is smaller than the sum of its proper divisors (60599561028).

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

28067763900 is a wasteful number, since it uses less digits than its factorization.

28067763900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 28067763900 in words is "twenty-eight billion, sixty-seven million, seven hundred sixty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1481 1650 2962 3300 4443 5743 5924 7405 8886 11486 14810 16291 17229 17772 22215 22972 28715 29620 32582 34458 37025 44430 48873 57430 63173 65164 68916 74050 81455 86145 88860 97746 111075 114860 126346 143575 148100 162910 172290 189519 195492 222150 244365 252692 287150 315865 325820 344580 379038 407275 430725 444300 488730 574300 631730 758076 814550 861450 947595 977460 1221825 1263460 1579325 1629100 1722900 1895190 2443650 3158650 3790380 4737975 4887300 6317300 8505383 9475950 17010766 18951900 25516149 34021532 42526915 51032298 85053830 93559213 102064596 127580745 170107660 187118426 212634575 255161490 280677639 374236852 425269150 467796065 510322980 561355278 637903725 850538300 935592130 1122710556 1275807450 1403388195 1871184260 2338980325 2551614900 2806776390 4677960650 5613552780 7016940975 9355921300 14033881950 28067763900