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28813796352 = 2103211284227
BaseRepresentation
bin11010110101011011…
…111010010000000000
32202101002020111212200
4122311123322100000
5433002312440402
621123055353200
72040014141115
oct326533722000
982332214780
1028813796352
1111246700740
125701822800
1329426c1453
141574aaa90c
15b3991621c
hex6b56fa400

28813796352 has 132 divisors (see below), whose sum is σ = 90763095696. Its totient is φ = 8731422720.

The previous prime is 28813796351. The next prime is 28813796441. The reversal of 28813796352 is 25369731882.

28813796352 is a `hidden beast` number, since 288 + 1 + 3 + 7 + 9 + 6 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is not an unprimeable number, because it can be changed into a prime (28813796351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40738 + ... + 243489.

Almost surely, 228813796352 is an apocalyptic number.

28813796352 is a gapful number since it is divisible by the number (22) 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 28813796352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45381547848).

28813796352 is an abundant number, since it is smaller than the sum of its proper divisors (61949299344).

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

28813796352 is a wasteful number, since it uses less digits than its factorization.

28813796352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284264 (or 284243 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 28813796352 in words is "twenty-eight billion, eight hundred thirteen million, seven hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2816 3072 3168 4224 4608 5632 6336 8448 9216 11264 12672 16896 25344 33792 50688 101376 284227 568454 852681 1136908 1705362 2273816 2558043 3126497 3410724 4547632 5116086 6252994 6821448 9095264 9379491 10232172 12505988 13642896 18190528 18758982 20464344 25011976 27285792 28138473 36381056 37517964 40928688 50023952 54571584 56276946 72762112 75035928 81857376 100047904 109143168 112553892 145524224 150071856 163714752 200095808 218286336 225107784 291048448 300143712 327429504 400191616 436572672 450215568 600287424 654859008 800383232 873145344 900431136 1200574848 1309718016 1600766464 1800862272 2401149696 2619436032 3201532928 3601724544 4802299392 7203449088 9604598784 14406898176 28813796352