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28841142064 = 2472891034013
BaseRepresentation
bin11010110111000100…
…001110011100110000
32202102222200211010211
4122313010032130300
5433031313021224
621125513433504
72040465443200
oct326704163460
982388624124
1028841142064
11112600889a9
12570aa0b894
132948277247
141578588400
15b3c018894
hex6b710e730

28841142064 has 120 divisors (see below), whose sum is σ = 66388027680. Its totient is φ = 12099935232.

The previous prime is 28841142041. The next prime is 28841142067. The reversal of 28841142064 is 46024114882.

It is a super-2 number, since 2×288411420642 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28841142067) 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 23 ways as a sum of consecutive naturals, for example, 7184922 + ... + 7188934.

It is an arithmetic number, because the mean of its divisors is an integer number (553233564).

Almost surely, 228841142064 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 28841142064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33194013840).

28841142064 is an abundant number, since it is smaller than the sum of its proper divisors (37546885616).

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

28841142064 is a wasteful number, since it uses less digits than its factorization.

28841142064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 28841142064 in words is "twenty-eight billion, eight hundred forty-one million, one hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 89 98 103 112 178 196 206 356 392 412 623 712 721 784 824 1246 1424 1442 1648 2492 2884 4013 4361 4984 5047 5768 8026 8722 9167 9968 10094 11536 16052 17444 18334 20188 28091 32104 34888 36668 40376 56182 64169 64208 69776 73336 80752 112364 128338 146672 196637 224728 256676 357157 393274 413339 449183 449456 513352 714314 786548 826678 898366 1026704 1428628 1573096 1653356 1796732 2500099 2857256 2893373 3146192 3306712 3593464 5000198 5714512 5786746 6613424 7186928 10000396 11573492 17500693 20000792 20253611 23146984 35001386 36787171 40001584 40507222 46293968 70002772 73574342 81014444 140005544 147148684 162028888 257510197 280011088 294297368 324057776 515020394 588594736 1030040788 1802571379 2060081576 3605142758 4120163152 7210285516 14420571032 28841142064