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28886155776 = 29328537349
BaseRepresentation
bin11010111001101111…
…111100001000000000
32202120010101202100100
4122321233330020000
5433124323441101
621134202322400
72041553162412
oct327157741000
982503352310
1028886155776
1111283533415
125721ab9400
1329546a7b8a
1415805449b2
15b40e5ae86
hex6b9bfc200

28886155776 has 120 divisors (see below), whose sum is σ = 83476493100. Its totient is φ = 9616121856.

The previous prime is 28886155769. The next prime is 28886155777. The reversal of 28886155776 is 67755168882.

28886155776 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 6 + 1 + 557 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28014725376 + 871430400 = 167376^2 + 29520^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28886155777) 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 11 ways as a sum of consecutive naturals, for example, 3926950 + ... + 3934298.

Almost surely, 228886155776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28886155776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41738246550).

28886155776 is an abundant number, since it is smaller than the sum of its proper divisors (54590337324).

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

28886155776 is an equidigital number, since it uses as much as digits as its factorization.

28886155776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8226 (or 8207 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 63.

The spelling of 28886155776 in words is "twenty-eight billion, eight hundred eighty-six million, one hundred fifty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 853 1152 1536 1706 2304 2559 3412 4608 5118 6824 7349 7677 10236 13648 14698 15354 20472 22047 27296 29396 30708 40944 44094 54592 58792 61416 66141 81888 88188 109184 117584 122832 132282 163776 176376 218368 235168 245664 264564 327552 352752 436736 470336 491328 529128 655104 705504 940672 982656 1058256 1310208 1411008 1881344 1965312 2116512 2822016 3762688 3930624 4233024 5644032 6268697 8466048 11288064 12537394 16932096 18806091 25074788 33864192 37612182 50149576 56418273 75224364 100299152 112836546 150448728 200598304 225673092 300897456 401196608 451346184 601794912 802393216 902692368 1203589824 1604786432 1805384736 2407179648 3209572864 3610769472 4814359296 7221538944 9628718592 14443077888 28886155776