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2828297136 = 2437194310303
BaseRepresentation
bin1010100010010100…
…0110001110110000
321022002221101021210
42220211012032300
521243021002021
61144352120120
7130042062150
oct25045061660
97262841253
102828297136
111221555555
1266b236040
13360c57102
141cb8ac760
15118478e76
hexa89463b0

2828297136 has 160 divisors (see below), whose sum is σ = 8994979840. Its totient is φ = 747677952.

The previous prime is 2828297111. The next prime is 2828297149. The reversal of 2828297136 is 6317928282.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269361 + ... + 279663.

It is an arithmetic number, because the mean of its divisors is an integer number (56218624).

Almost surely, 22828297136 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 2828297136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497489920).

2828297136 is an abundant number, since it is smaller than the sum of its proper divisors (6166682704).

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

2828297136 is a wasteful number, since it uses less digits than its factorization.

2828297136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10383 (or 10377 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 2828297136 is about 53181.7368652059. The cubic root of 2828297136 is about 1414.1918972502.

The spelling of 2828297136 in words is "two billion, eight hundred twenty-eight million, two hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 43 48 56 57 76 84 86 112 114 129 133 152 168 172 228 258 266 301 304 336 344 399 456 516 532 602 688 798 817 903 912 1032 1064 1204 1596 1634 1806 2064 2128 2408 2451 3192 3268 3612 4816 4902 5719 6384 6536 7224 9804 10303 11438 13072 14448 17157 19608 20606 22876 30909 34314 39216 41212 45752 61818 68628 72121 82424 91504 123636 137256 144242 164848 195757 216363 247272 274512 288484 391514 432726 443029 494544 576968 587271 783028 865452 886058 1153936 1174542 1329087 1370299 1566056 1730904 1772116 2349084 2658174 2740598 3101203 3132112 3461808 3544232 4110897 4698168 5316348 5481196 6202406 7088464 8221794 8417551 9303609 9396336 10632696 10962392 12404812 16443588 16835102 18607218 21265392 21924784 24809624 25252653 32887176 33670204 37214436 49619248 50505306 58922857 65774352 67340408 74428872 101010612 117845714 134680816 148857744 176768571 202021224 235691428 353537142 404042448 471382856 707074284 942765712 1414148568 2828297136