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28849380384 = 2531141666329
BaseRepresentation
bin11010110111100011…
…101001110000100000
32202110120012100222210
4122313203221300200
5433040420133014
621130410202120
72040625454466
oct326743516040
982416170883
1028849380384
11112647a5530
125711723340
132949b9cca6
1415796d0836
15b3cae4859
hex6b78e9c20

28849380384 has 96 divisors (see below), whose sum is σ = 84629240640. Its totient is φ = 8528998400.

The previous prime is 28849380377. The next prime is 28849380407. The reversal of 28849380384 is 48308394882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 289869 + ... + 376460.

It is an arithmetic number, because the mean of its divisors is an integer number (881554590).

Almost surely, 228849380384 is an apocalyptic number.

28849380384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28849380384 is an abundant number, since it is smaller than the sum of its proper divisors (55779860256).

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

28849380384 is a wasteful number, since it uses less digits than its factorization.

28849380384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666394 (or 666386 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 28849380384 in words is "twenty-eight billion, eight hundred forty-nine million, three hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 164 176 246 264 328 352 451 492 528 656 902 984 1056 1312 1353 1804 1968 2706 3608 3936 5412 7216 10824 14432 21648 43296 666329 1332658 1998987 2665316 3997974 5330632 7329619 7995948 10661264 14659238 15991896 21322528 21988857 27319489 29318476 31983792 43977714 54638978 58636952 63967584 81958467 87955428 109277956 117273904 163916934 175910856 218555912 234547808 300514379 327833868 351821712 437111824 601028758 655667736 703643424 874223648 901543137 1202057516 1311335472 1803086274 2404115032 2622670944 3606172548 4808230064 7212345096 9616460128 14424690192 28849380384