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28038966048 = 2533171908971
BaseRepresentation
bin11010000111010000…
…001010101100100000
32200101002021001112000
4122013100022230200
5424410433403143
620514140204000
72011555164462
oct320720125440
980332231460
1028038966048
11109892a1215
125526239600
13284b011a92
1414ddc14132
15ae18b1bd3
hex68740ab20

28038966048 has 96 divisors (see below), whose sum is σ = 86590969920. Its totient is φ = 8796533760.

The previous prime is 28038966047. The next prime is 28038966101. The reversal of 28038966048 is 84066983082.

28038966048 is a `hidden beast` number, since 28 + 0 + 3 + 8 + 9 + 6 + 604 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28038965985 and 28038966003.

It is not an unprimeable number, because it can be changed into a prime (28038966047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939798 + ... + 969173.

It is an arithmetic number, because the mean of its divisors is an integer number (901989270).

Almost surely, 228038966048 is an apocalyptic number.

It is an amenable number.

28038966048 is an abundant number, since it is smaller than the sum of its proper divisors (58552003872).

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

28038966048 is a wasteful number, since it uses less digits than its factorization.

28038966048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909007 (or 1908993 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 28038966048 in words is "twenty-eight billion, thirty-eight million, nine hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 1908971 3817942 5726913 7635884 11453826 15271768 17180739 22907652 30543536 32452507 34361478 45815304 51542217 61087072 64905014 68722956 91630608 97357521 103084434 129810028 137445912 183261216 194715042 206168868 259620056 274891824 292072563 389430084 412337736 519240112 549783648 584145126 778860168 824675472 876217689 1038480224 1168290252 1557720336 1649350944 1752435378 2336580504 3115440672 3504870756 4673161008 7009741512 9346322016 14019483024 28038966048