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32228028 = 223271953127
BaseRepresentation
bin111101011110…
…0001010111100
32020122100112200
41322330022330
531222244103
63110431500
7540635160
oct172741274
966570480
1032228028
1117212438
12a962590
1368a5151
1443ccca0
152c690a3
hex1ebc2bc

32228028 has 144 divisors (see below), whose sum is σ = 100638720. Its totient is φ = 8491392.

The previous prime is 32228023. The next prime is 32228033. The reversal of 32228028 is 82082223.

It is an interprime number because it is at equal distance from previous prime (32228023) and next prime (32228033).

It is a junction number, because it is equal to n+sod(n) for n = 32227992 and 32228010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32228023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253701 + ... + 253827.

It is an arithmetic number, because the mean of its divisors is an integer number (698880).

Almost surely, 232228028 is an apocalyptic number.

32228028 is a gapful number since it is divisible by the number (38) 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 32228028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50319360).

32228028 is an abundant number, since it is smaller than the sum of its proper divisors (68410692).

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

32228028 is a wasteful number, since it uses less digits than its factorization.

32228028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 32228028 is about 5676.9734894572. The cubic root of 32228028 is about 318.2325343227.

The spelling of 32228028 in words is "thirty-two million, two hundred twenty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 53 57 63 76 84 106 114 126 127 133 159 171 212 228 252 254 266 318 342 371 381 399 477 508 532 636 684 742 762 798 889 954 1007 1113 1143 1197 1484 1524 1596 1778 1908 2014 2226 2286 2394 2413 2667 3021 3339 3556 4028 4452 4572 4788 4826 5334 6042 6678 6731 7049 7239 8001 9063 9652 10668 12084 13356 13462 14098 14478 16002 16891 18126 20193 21147 21717 26924 28196 28956 32004 33782 36252 40386 42294 43434 47117 50673 60579 63441 67564 80772 84588 86868 94234 101346 121158 126882 127889 141351 152019 188468 202692 242316 253764 255778 282702 304038 383667 424053 511556 565404 608076 767334 848106 895223 1151001 1534668 1696212 1790446 2302002 2685669 3580892 4604004 5371338 8057007 10742676 16114014 32228028