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28668384 = 253333181
BaseRepresentation
bin110110101011…
…1000111100000
31222221111122000
41231113013200
524314342014
62502244000
7465451203
oct155270740
958844560
1028668384
1115200a88
129726600
135c29b54
143b4393a
1527b4509
hex1b571e0

28668384 has 48 divisors (see below), whose sum is σ = 83618640. Its totient is φ = 9555840.

The previous prime is 28668379. The next prime is 28668421. The reversal of 28668384 is 48386682.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15727 + ... + 17454.

It is an arithmetic number, because the mean of its divisors is an integer number (1742055).

Almost surely, 228668384 is an apocalyptic number.

28668384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28668384 is an abundant number, since it is smaller than the sum of its proper divisors (54950256).

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

28668384 is a wasteful number, since it uses less digits than its factorization.

28668384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33200 (or 33186 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 28668384 is about 5354.2865070894. The cubic root of 28668384 is about 306.0561219631.

The spelling of 28668384 in words is "twenty-eight million, six hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 33181 66362 99543 132724 199086 265448 298629 398172 530896 597258 796344 895887 1061792 1194516 1592688 1791774 2389032 3185376 3583548 4778064 7167096 9556128 14334192 28668384