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2828109690 = 232579746279
BaseRepresentation
bin1010100010010001…
…1000011101111010
321022002120212011100
42220210120131322
521242444002230
61144344112230
7130040351520
oct25044303572
97262525140
102828109690
11122143773a
1266b165676
13360bbc9b3
141cb860310
1511843d660
hexa891877a

2828109690 has 96 divisors (see below), whose sum is σ = 8490343680. Its totient is φ = 639747072.

The previous prime is 2828109679. The next prime is 2828109719. The reversal of 2828109690 is 969018282.

It is a super-2 number, since 2×28281096902 = 15996408837343792200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37971 + ... + 84249.

It is an arithmetic number, because the mean of its divisors is an integer number (88441080).

Almost surely, 22828109690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828109690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245171840).

2828109690 is an abundant number, since it is smaller than the sum of its proper divisors (5662233990).

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

2828109690 is a wasteful number, since it uses less digits than its factorization.

2828109690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46396 (or 46393 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 2828109690 is about 53179.9745204903. The cubic root of 2828109690 is about 1414.1606546027.

The spelling of 2828109690 in words is "two billion, eight hundred twenty-eight million, one hundred nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 97 105 126 194 210 291 315 485 582 630 679 873 970 1358 1455 1746 2037 2910 3395 4074 4365 6111 6790 8730 10185 12222 20370 30555 46279 61110 92558 138837 231395 277674 323953 416511 462790 647906 694185 833022 971859 1388370 1619765 1943718 2082555 2915577 3239530 4165110 4489063 4859295 5831154 8978126 9718590 13467189 14577885 22445315 26934378 29155770 31423441 40401567 44890630 62846882 67335945 80803134 94270323 134671890 157117205 188540646 202007835 282810969 314234410 404015670 471351615 565621938 942703230 1414054845 2828109690