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28192032 = 2532112809
BaseRepresentation
bin110101110001…
…0110100100000
31222001022012100
41223202310200
524204121112
62444130400
7461425341
oct153426440
958038170
1028192032
1114a06100
129536a00
135ac109b
143a5c0c8
15271d2dc
hex1ae2d20

28192032 has 108 divisors (see below), whose sum is σ = 88230870. Its totient is φ = 8532480.

The previous prime is 28191979. The next prime is 28192037. The reversal of 28192032 is 23029182.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 18974736 + 9217296 = 4356^2 + 3036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 28191987 and 28192005.

It is not an unprimeable number, because it can be changed into a prime (28192037) 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 17 ways as a sum of consecutive naturals, for example, 34444 + ... + 35252.

Almost surely, 228192032 is an apocalyptic number.

28192032 is a gapful number since it is divisible by the number (22) 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 28192032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44115435).

28192032 is an abundant number, since it is smaller than the sum of its proper divisors (60038838).

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

28192032 is a wasteful number, since it uses less digits than its factorization.

28192032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 28192032 is about 5309.6169353354. The cubic root of 28192032 is about 304.3515093739.

It can be divided in two parts, 2819 and 2032, that added together give a triangular number (4851 = T98).

The spelling of 28192032 in words is "twenty-eight million, one hundred ninety-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 809 968 1056 1089 1452 1584 1618 1936 2178 2427 2904 3168 3236 3872 4356 4854 5808 6472 7281 8712 8899 9708 11616 12944 14562 17424 17798 19416 25888 26697 29124 34848 35596 38832 53394 58248 71192 77664 80091 97889 106788 116496 142384 160182 195778 213576 232992 284768 293667 320364 391556 427152 587334 640728 783112 854304 881001 1174668 1281456 1566224 1762002 2349336 2562912 3132448 3524004 4698672 7048008 9397344 14096016 28192032