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28032312 = 23372112197
BaseRepresentation
bin110101011101…
…1110100111000
31221202012002210
41222323310320
524134013222
62440455120
7460161600
oct152736470
957665083
1028032312
1114907100
12947a4a0
135a66489
143a19c00
1526dad0c
hex1abbd38

28032312 has 144 divisors (see below), whose sum is σ = 90062280. Its totient is φ = 7244160.

The previous prime is 28032311. The next prime is 28032313. The reversal of 28032312 is 21323082.

28032312 = T13 + T14 + ... + T551.

It is an interprime number because it is at equal distance from previous prime (28032311) and next prime (28032313).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28032311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142198 + ... + 142394.

Almost surely, 228032312 is an apocalyptic number.

28032312 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 28032312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45031140).

28032312 is an abundant number, since it is smaller than the sum of its proper divisors (62029968).

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

28032312 is a wasteful number, since it uses less digits than its factorization.

28032312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 28032312 is about 5294.5549388027. The cubic root of 28032312 is about 303.7756597402.

Adding to 28032312 its reverse (21323082), we get a palindrome (49355394).

It can be divided in two parts, 2803 and 2312, that added together give a palindrome (5115).

The spelling of 28032312 in words is "twenty-eight million, thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 121 132 147 154 168 196 197 231 242 264 294 308 363 392 394 462 484 539 588 591 616 726 788 847 924 968 1078 1176 1182 1379 1452 1576 1617 1694 1848 2156 2167 2364 2541 2758 2904 3234 3388 4137 4312 4334 4728 5082 5516 5929 6468 6501 6776 8274 8668 9653 10164 11032 11858 12936 13002 15169 16548 17336 17787 19306 20328 23716 23837 26004 28959 30338 33096 35574 38612 45507 47432 47674 52008 57918 60676 71148 71511 77224 91014 95348 106183 115836 121352 142296 143022 166859 182028 190696 212366 231672 286044 318549 333718 364056 424732 500577 572088 637098 667436 849464 1001154 1168013 1274196 1334872 2002308 2336026 2548392 3504039 4004616 4672052 7008078 9344104 14016156 28032312