Search a number
-
+
28336665368 = 231129671031609
BaseRepresentation
bin11010011000111111…
…110011001100011000
32201010211102202012202
4122120333303030120
5431013141242433
621003453025332
72022131452514
oct323077631430
981124382182
1028336665368
1111021344110
1255a9a85248
1328978b561b
14152b589144
15b0cab8ee8
hex698ff3318

28336665368 has 128 divisors (see below), whose sum is σ = 61483968000. Its totient is φ = 12124062720.

The previous prime is 28336665361. The next prime is 28336665389. The reversal of 28336665368 is 86356663382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28336665361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17610548 + ... + 17612156.

It is an arithmetic number, because the mean of its divisors is an integer number (480343500).

Almost surely, 228336665368 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 28336665368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30741984000).

28336665368 is an abundant number, since it is smaller than the sum of its proper divisors (33147302632).

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

28336665368 is a wasteful number, since it uses less digits than its factorization.

28336665368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1821 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 56.

The spelling of 28336665368 in words is "twenty-eight billion, three hundred thirty-six million, six hundred sixty-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 22 29 44 58 67 88 103 116 134 206 232 268 319 412 536 638 737 824 1133 1276 1474 1609 1943 2266 2552 2948 2987 3218 3886 4532 5896 5974 6436 6901 7772 9064 11948 12872 13802 15544 17699 21373 23896 27604 32857 35398 42746 46661 55208 65714 70796 75911 85492 93322 107803 131428 141592 151822 165727 170984 186644 200129 215606 262856 303644 331454 373288 400258 431212 513271 607288 662908 800516 862424 1026542 1185833 1325816 1601032 1822997 2053084 2201419 2371666 3126287 3645994 4106168 4402838 4743332 4806083 6252574 7291988 8805676 9486664 9612166 11103709 12505148 14583976 17611352 19224332 22207418 25010296 34389157 38448664 44414836 52866913 68778314 88829672 105733826 122140799 137556628 211467652 244281598 275113256 322007561 422935304 488563196 644015122 977126392 1288030244 2576060488 3542083171 7084166342 14168332684 28336665368