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10828614400 = 28529717443
BaseRepresentation
bin10100001010110111…
…11000101100000000
31000221122221121101121
422011123320230000
5134134111130100
64550302442024
7532225463242
oct120533705400
930848847347
1010828614400
11465751a2aa
122122593314
13103757b756
1474a21a092
154359d851a
hex2856f8b00

10828614400 has 108 divisors (see below), whose sum is σ = 27080379592. Its totient is φ = 4286545920.

The previous prime is 10828614373. The next prime is 10828614421. The reversal of 10828614400 is 441682801.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612079 + ... + 629521.

Almost surely, 210828614400 is an apocalyptic number.

10828614400 is a gapful number since it is divisible by the number (10) 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 10828614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540189796).

10828614400 is an abundant number, since it is smaller than the sum of its proper divisors (16251765192).

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

10828614400 is an equidigital number, since it uses as much as digits as its factorization.

10828614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17566 (or 17547 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 10828614400 in words is "ten billion, eight hundred twenty-eight million, six hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 97 100 128 160 194 200 256 320 388 400 485 640 776 800 970 1280 1552 1600 1940 2425 3104 3200 3880 4850 6208 6400 7760 9700 12416 15520 17443 19400 24832 31040 34886 38800 62080 69772 77600 87215 124160 139544 155200 174430 279088 310400 348860 436075 558176 620800 697720 872150 1116352 1395440 1691971 1744300 2232704 2790880 3383942 3488600 4465408 5581760 6767884 6977200 8459855 11163520 13535768 13954400 16919710 22327040 27071536 27908800 33839420 42299275 54143072 55817600 67678840 84598550 108286144 111635200 135357680 169197100 216572288 270715360 338394200 433144576 541430720 676788400 1082861440 1353576800 2165722880 2707153600 5414307200 10828614400