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28340200584 = 23322913572893
BaseRepresentation
bin11010011001001101…
…010010010010001000
32201011002002100121200
4122121031102102020
5431020042404314
621004100504200
72022203505333
oct323115222210
981132070550
1028340200584
1111023339183
1255ab0ab060
132898552777
14152bc2961a
15b0d066709
hex699352488

28340200584 has 48 divisors (see below), whose sum is σ = 79401429900. Its totient is φ = 9120983424.

The previous prime is 28340200583. The next prime is 28340200601. The reversal of 28340200584 is 48500204382.

28340200584 is a `hidden beast` number, since 28 + 34 + 0 + 20 + 0 + 584 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26253720900 + 2086479684 = 162030^2 + 45678^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28340200583) 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, 6784359 + ... + 6788534.

Almost surely, 228340200584 is an apocalyptic number.

28340200584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28340200584 is an abundant number, since it is smaller than the sum of its proper divisors (51061229316).

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

28340200584 is a wasteful number, since it uses less digits than its factorization.

28340200584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13572934 (or 13572927 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 28340200584 in words is "twenty-eight billion, three hundred forty million, two hundred thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 13572893 27145786 40718679 54291572 81437358 108583144 122156037 162874716 244312074 325749432 393613897 488624148 787227794 977248296 1180841691 1574455588 2361683382 3148911176 3542525073 4723366764 7085050146 9446733528 14170100292 28340200584