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28647168 = 283113391
BaseRepresentation
bin110110101000…
…1111100000000
31222220102112020
41231101330000
524313202133
62502001440
7465332304
oct155217400
958812466
1028647168
1115197050
129716280
135c202b4
143b39d04
1527ad0b3
hex1b51f00

28647168 has 72 divisors (see below), whose sum is σ = 83198976. Its totient is φ = 8678400.

The previous prime is 28647161. The next prime is 28647191. The reversal of 28647168 is 86174682.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28647161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6753 + ... + 10143.

Almost surely, 228647168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28647168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41599488).

28647168 is an abundant number, since it is smaller than the sum of its proper divisors (54551808).

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

28647168 is a wasteful number, since it uses less digits than its factorization.

28647168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3407 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 28647168 is about 5352.3049240491. The cubic root of 28647168 is about 305.9806045206.

The spelling of 28647168 in words is "twenty-eight million, six hundred forty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 3391 4224 6782 8448 10173 13564 20346 27128 37301 40692 54256 74602 81384 108512 111903 149204 162768 217024 223806 298408 325536 434048 447612 596816 651072 868096 895224 1193632 1302144 1790448 2387264 2604288 3580896 4774528 7161792 9549056 14323584 28647168