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28205712 = 2433109599
BaseRepresentation
bin110101110011…
…0001010010000
31222001222222000
41223212022100
524210040322
62444314000
7461513253
oct153461220
958058860
1028205712
1114a15407
129542900
135ac7392
143a6309a
1527223ac
hex1ae6290

28205712 has 80 divisors (see below), whose sum is σ = 81840000. Its totient is φ = 9300096.

The previous prime is 28205711. The next prime is 28205767. The reversal of 28205712 is 21750282.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (28205711) 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 15 ways as a sum of consecutive naturals, for example, 46789 + ... + 47387.

It is an arithmetic number, because the mean of its divisors is an integer number (1023000).

Almost surely, 228205712 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 28205712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40920000).

28205712 is an abundant number, since it is smaller than the sum of its proper divisors (53634288).

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

28205712 is a wasteful number, since it uses less digits than its factorization.

28205712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 28205712 is about 5310.9050076235. The cubic root of 28205712 is about 304.4007296097.

Adding to 28205712 its reverse (21750282), we get a palindrome (49955994).

The spelling of 28205712 in words is "twenty-eight million, two hundred five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 144 216 218 327 432 436 599 654 872 981 1198 1308 1744 1797 1962 2396 2616 2943 3594 3924 4792 5232 5391 5886 7188 7848 9584 10782 11772 14376 15696 16173 21564 23544 28752 32346 43128 47088 64692 65291 86256 129384 130582 195873 258768 261164 391746 522328 587619 783492 1044656 1175238 1566984 1762857 2350476 3133968 3525714 4700952 7051428 9401904 14102856 28205712