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28666584 = 2332612107
BaseRepresentation
bin110110101011…
…0101011011000
31222221102011100
41231112223120
524314312314
62502231400
7465443022
oct155265330
958842140
1028666584
11151aa6a1
129725560
135c2909b
143b43012
1527b3c09
hex1b56ad8

28666584 has 72 divisors (see below), whose sum is σ = 79669980. Its totient is φ = 9311040.

The previous prime is 28666571. The next prime is 28666591. The reversal of 28666584 is 48566682.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 267859 + ... + 267965.

Almost surely, 228666584 is an apocalyptic number.

28666584 is a gapful number since it is divisible by the number (24) 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 28666584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39834990).

28666584 is an abundant number, since it is smaller than the sum of its proper divisors (51003396).

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

28666584 is a wasteful number, since it uses less digits than its factorization.

28666584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 173 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 28666584 is about 5354.1184148280. The cubic root of 28666584 is about 306.0497163870.

The spelling of 28666584 in words is "twenty-eight million, six hundred sixty-six thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 107 122 183 214 244 321 366 428 488 549 642 732 856 963 1098 1284 1464 1926 2196 2568 3721 3852 4392 6527 7442 7704 11163 13054 14884 19581 22326 26108 29768 33489 39162 44652 52216 58743 66978 78324 89304 117486 133956 156648 234972 267912 398147 469944 796294 1194441 1592588 2388882 3185176 3583323 4777764 7166646 9555528 14333292 28666584