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28769568352 = 2572193131151
BaseRepresentation
bin11010110010110011…
…001100011001100000
32202021000000111110121
4122302303030121200
5432410002141402
621114435410024
72035636203400
oct326263143140
982230014417
1028769568352
1111223742578
1256aaa53914
1329364a7335
14156cc76800
15b35acb837
hex6b2ccc660

28769568352 has 144 divisors (see below), whose sum is σ = 71594772480. Its totient is φ = 11303712000.

The previous prime is 28769568341. The next prime is 28769568361. The reversal of 28769568352 is 25386596782.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 907977 + ... + 939127.

It is an arithmetic number, because the mean of its divisors is an integer number (497185920).

Almost surely, 228769568352 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 28769568352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35797386240).

28769568352 is an abundant number, since it is smaller than the sum of its proper divisors (42825204128).

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

28769568352 is a wasteful number, since it uses less digits than its factorization.

28769568352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31225 (or 31210 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 61.

The spelling of 28769568352 in words is "twenty-eight billion, seven hundred sixty-nine million, five hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 49 56 62 76 98 112 124 133 152 196 217 224 248 266 304 392 434 496 532 589 608 784 868 931 992 1064 1178 1519 1568 1736 1862 2128 2356 3038 3472 3724 4123 4256 4712 6076 6944 7448 8246 9424 12152 14896 16492 18848 24304 28861 29792 31151 32984 48608 57722 62302 65968 115444 124604 131936 218057 230888 249208 436114 461776 498416 591869 872228 923552 965681 996832 1183738 1526399 1744456 1931362 2367476 3052798 3488912 3862724 4143083 4734952 6105596 6759767 6977824 7725448 8286166 9469904 12211192 13519534 15450896 16572332 18347939 18939808 24422384 27039068 29001581 30901792 33144664 36695878 47318369 48844768 54078136 58003162 66289328 73391756 94636738 108156272 116006324 128435573 132578656 146783512 189273476 216312544 232012648 256871146 293567024 378546952 464025296 513742292 587134048 757093904 899049011 928050592 1027484584 1514187808 1798098022 2054969168 3596196044 4109938336 7192392088 14384784176 28769568352