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28672182 = 232711137151
BaseRepresentation
bin110110101100…
…0000010110110
31222221200211200
41231120002312
524320002212
62502313330
7465465240
oct155300266
958850750
1028672182
1115203920
129728846
135c2b7b6
143b45090
1527b56dc
hex1b580b6

28672182 has 96 divisors (see below), whose sum is σ = 78534144. Its totient is φ = 7344000.

The previous prime is 28672177. The next prime is 28672199. The reversal of 28672182 is 28127682.

It is a happy number.

It is a super-2 number, since 2×286721822 = 1644188041282248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189807 + ... + 189957.

It is an arithmetic number, because the mean of its divisors is an integer number (818064).

Almost surely, 228672182 is an apocalyptic number.

28672182 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28672182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39267072).

28672182 is an abundant number, since it is smaller than the sum of its proper divisors (49861962).

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

28672182 is a wasteful number, since it uses less digits than its factorization.

28672182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 311 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 28672182 is about 5354.6411644479. The cubic root of 28672182 is about 306.0696368491.

It can be divided in two parts, 28 and 672182, that multiplied together give a cube (18821096 = 2663).

The spelling of 28672182 in words is "twenty-eight million, six hundred seventy-two thousand, one hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 137 151 154 198 231 274 302 411 453 462 693 822 906 959 1057 1233 1359 1386 1507 1661 1918 2114 2466 2718 2877 3014 3171 3322 4521 4983 5754 6342 8631 9042 9513 9966 10549 11627 13563 14949 17262 19026 20687 21098 23254 27126 29898 31647 34881 41374 62061 63294 69762 94941 104643 124122 144809 186183 189882 209286 227557 289618 372366 434427 455114 682671 868854 1303281 1365342 1592899 2048013 2606562 3185798 4096026 4778697 9557394 14336091 28672182