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28688688 = 2433753179
BaseRepresentation
bin110110101110…
…0000100110000
31222222112111000
41231130010300
524321014223
62502522000
7465564330
oct155340460
958875430
1028688688
1115215266
129736300
135c36172
143b4b0c0
1527ba543
hex1b5c130

28688688 has 160 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 7997184.

The previous prime is 28688687. The next prime is 28688711. The reversal of 28688688 is 88688682.

It is a super-2 number, since 2×286886882 = 1646081638322688, which contains 22 as substring.

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

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

Its product of digits (2359296) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (28688687) 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 31 ways as a sum of consecutive naturals, for example, 160183 + ... + 160361.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 228688688 is an apocalyptic number.

28688688 is a gapful number since it is divisible by the number (28) 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 28688688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211200).

28688688 is an abundant number, since it is smaller than the sum of its proper divisors (67733712).

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

28688688 is a wasteful number, since it uses less digits than its factorization.

28688688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 28688688 is about 5356.1822224417. The cubic root of 28688688 is about 306.1283582990.

The spelling of 28688688 in words is "twenty-eight million, six hundred eighty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 53 54 56 63 72 84 106 108 112 126 144 159 168 179 189 212 216 252 318 336 358 371 378 424 432 477 504 537 636 716 742 756 848 954 1008 1074 1113 1253 1272 1431 1432 1484 1512 1611 1908 2148 2226 2506 2544 2862 2864 2968 3024 3222 3339 3759 3816 4296 4452 4833 5012 5724 5936 6444 6678 7518 7632 8592 8904 9487 9666 10017 10024 11277 11448 12888 13356 15036 17808 18974 19332 20034 20048 22554 22896 25776 26712 28461 30072 33831 37948 38664 40068 45108 53424 56922 60144 66409 67662 75896 77328 80136 85383 90216 113844 132818 135324 151792 160272 170766 180432 199227 227688 256149 265636 270648 341532 398454 455376 512298 531272 541296 597681 683064 796908 1024596 1062544 1195362 1366128 1593816 1793043 2049192 2390724 3187632 3586086 4098384 4781448 7172172 9562896 14344344 28688688