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2828398608 = 243375771621
BaseRepresentation
bin1010100010010101…
…1111000000010000
321022010010112111000
42220211133000100
521243032223413
61144354222000
7130042664040
oct25045370020
97263115430
102828398608
111221614812
1266b284900
13360c91359
141cb8d7720
15118499073
hexa895f010

2828398608 has 160 divisors (see below), whose sum is σ = 9300158720. Its totient is φ = 806215680.

The previous prime is 2828398603. The next prime is 2828398627. The reversal of 2828398608 is 8068938282.

2828398608 is a `hidden beast` number, since 2 + 8 + 28 + 3 + 9 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2828398603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1744038 + ... + 1745658.

It is an arithmetic number, because the mean of its divisors is an integer number (58125992).

Almost surely, 22828398608 is an apocalyptic number.

2828398608 is a gapful number since it is divisible by the number (28) 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 2828398608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650079360).

2828398608 is an abundant number, since it is smaller than the sum of its proper divisors (6471760112).

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

2828398608 is a wasteful number, since it uses less digits than its factorization.

2828398608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 2828398608 is about 53182.6908683643. The cubic root of 2828398608 is about 1414.2088095661.

The spelling of 2828398608 in words is "two billion, eight hundred twenty-eight million, three hundred ninety-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 577 756 1008 1154 1512 1621 1731 2308 3024 3242 3462 4039 4616 4863 5193 6484 6924 8078 9232 9726 10386 11347 12117 12968 13848 14589 15579 16156 19452 20772 22694 24234 25936 27696 29178 31158 32312 34041 36351 38904 41544 43767 45388 48468 58356 62316 64624 68082 72702 77808 83088 87534 90776 96936 102123 109053 116712 124632 136164 145404 175068 181552 193872 204246 218106 233424 249264 272328 290808 306369 350136 408492 436212 544656 581616 612738 700272 816984 872424 935317 1225476 1633968 1744848 1870634 2450952 2805951 3741268 4901904 5611902 6547219 7482536 8417853 11223804 13094438 14965072 16835706 19641657 22447608 25253559 26188876 33671412 39283314 44895216 50507118 52377752 58924971 67342824 78566628 101014236 104755504 117849942 134685648 157133256 176774913 202028472 235699884 314266512 353549826 404056944 471399768 707099652 942799536 1414199304 2828398608