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28000550500 = 22531337311549
BaseRepresentation
bin11010000100111101…
…100111111001100100
32200021101222100021221
4122010331213321210
5424321120104000
620510244550124
72010610516006
oct320475477144
980241870257
1028000550500
111096964302a
1255153b2344
1328430814a0
1414d8a94376
15add32461a
hex684f67e64

28000550500 has 96 divisors (see below), whose sum is σ = 66039573600. Its totient is φ = 10310054400.

The previous prime is 28000550491. The next prime is 28000550507. The reversal of 28000550500 is 505500082.

It can be written as a sum of positive squares in 16 ways, for example, as 16419347044 + 11581203456 = 128138^2 + 107616^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (28000550507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2418726 + ... + 2430274.

It is an arithmetic number, because the mean of its divisors is an integer number (687912225).

Almost surely, 228000550500 is an apocalyptic number.

28000550500 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 28000550500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33019786800).

28000550500 is an abundant number, since it is smaller than the sum of its proper divisors (38039023100).

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

28000550500 is a wasteful number, since it uses less digits than its factorization.

28000550500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11954 (or 11942 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 28000550500 in words is "twenty-eight billion, five hundred fifty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 373 500 650 746 1300 1492 1625 1865 3250 3730 4849 6500 7460 9325 9698 11549 18650 19396 23098 24245 37300 46196 46625 48490 57745 93250 96980 115490 121225 150137 186500 230980 242450 288725 300274 484900 577450 600548 606125 750685 1154900 1212250 1443625 1501370 2424500 2887250 3002740 3753425 4307777 5774500 7506850 8615554 15013700 17231108 18767125 21538885 37534250 43077770 56001101 75068500 86155540 107694425 112002202 215388850 224004404 280005505 430777700 538472125 560011010 1076944250 1120022020 1400027525 2153888500 2800055050 5600110100 7000137625 14000275250 28000550500