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28813888664 = 231119232413109
BaseRepresentation
bin11010110101011100…
…010000110010011000
32202101002102012111122
4122311130100302120
5433002323414124
621123101344412
72040015004211
oct326534206230
982332365448
1028813888664
1111246764030
125701868108
132942724482
141574ad2408
15b3993375e
hex6b5710c98

28813888664 has 128 divisors (see below), whose sum is σ = 65026368000. Its totient is φ = 11815372800.

The previous prime is 28813888661. The next prime is 28813888669. The reversal of 28813888664 is 46688831882.

It is a junction number, because it is equal to n+sod(n) for n = 28813888597 and 28813888606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28813888661) 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, 9266342 + ... + 9269450.

It is an arithmetic number, because the mean of its divisors is an integer number (508018500).

Almost surely, 228813888664 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 28813888664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32513184000).

28813888664 is an abundant number, since it is smaller than the sum of its proper divisors (36212479336).

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

28813888664 is a wasteful number, since it uses less digits than its factorization.

28813888664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409 (or 3405 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 62.

The spelling of 28813888664 in words is "twenty-eight billion, eight hundred thirteen million, eight hundred eighty-eight thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 88 92 152 184 209 241 253 418 437 482 506 836 874 964 1012 1672 1748 1928 2024 2651 3109 3496 4579 4807 5302 5543 6218 9158 9614 10604 11086 12436 18316 19228 21208 22172 24872 34199 36632 38456 44344 50369 59071 60973 68398 71507 100738 105317 118142 121946 136796 143014 201476 210634 236284 243892 273592 286028 402952 421268 472568 487784 572056 649781 749269 786577 842536 1158487 1299562 1358633 1498538 1573154 2316974 2599124 2717266 2997076 3146308 4633948 5198248 5434532 5994152 6292616 8241959 9267896 10869064 14236111 14944963 16483918 17233187 28472222 29889926 32967836 34466374 56944444 59779852 65935672 68932748 113888888 119559704 137865496 156597221 189565057 313194442 327430553 379130114 626388884 654861106 758260228 1252777768 1309722212 1516520456 2619444424 3601736083 7203472166 14406944332 28813888664