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28615586340 = 223511175324733
BaseRepresentation
bin11010101001100111…
…110011001000100100
32201212021021101212010
4122221213303020210
5432101042230330
621051255154220
72032056320265
oct325147631044
981767241763
1028615586340
1111154830610
125667375970
132910612b13
14155663296c
15b273123b0
hex6a99f3224

28615586340 has 96 divisors (see below), whose sum is σ = 87461006976. Its totient is φ = 6932874240.

The previous prime is 28615586287. The next prime is 28615586347. The reversal of 28615586340 is 4368551682.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 28615586340.

It is not an unprimeable number, because it can be changed into a prime (28615586347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1144614 + ... + 1169346.

It is an arithmetic number, because the mean of its divisors is an integer number (911052156).

Almost surely, 228615586340 is an apocalyptic number.

28615586340 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 28615586340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43730503488).

28615586340 is an abundant number, since it is smaller than the sum of its proper divisors (58845420636).

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

28615586340 is a wasteful number, since it uses less digits than its factorization.

28615586340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26509 (or 26507 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 28615586340 in words is "twenty-eight billion, six hundred fifteen million, five hundred eighty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1753 3506 5259 7012 8765 10518 17530 19283 21036 24733 26295 35060 38566 49466 52590 57849 74199 77132 96415 98932 105180 115698 123665 148398 192830 231396 247330 272063 289245 296796 370995 385660 494660 544126 578490 741990 816189 1088252 1156980 1360315 1483980 1632378 2720630 3264756 4080945 5441260 8161890 16323780 43356949 86713898 130070847 173427796 216784745 260141694 433569490 476926439 520283388 650354235 867138980 953852878 1300708470 1430779317 1907705756 2384632195 2601416940 2861558634 4769264390 5723117268 7153896585 9538528780 14307793170 28615586340