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28443312 = 2434171291
BaseRepresentation
bin110110010000…
…0001010110000
31222112001220000
41230200022300
524240141222
62453350000
7463523052
oct154401260
958461800
1028443312
1115067977
129638300
135b7b581
143ac58d2
15276c9ac
hex1b202b0

28443312 has 100 divisors (see below), whose sum is σ = 87233256. Its totient is φ = 8916480.

The previous prime is 28443307. The next prime is 28443313. The reversal of 28443312 is 21334482.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28443313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21387 + ... + 22677.

Almost surely, 228443312 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 28443312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43616628).

28443312 is an abundant number, since it is smaller than the sum of its proper divisors (58789944).

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

28443312 is a wasteful number, since it uses less digits than its factorization.

28443312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1313 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 28443312 is about 5333.2271656100. The cubic root of 28443312 is about 305.2530802773.

Adding to 28443312 its reverse (21334482), we get a palindrome (49777794).

The spelling of 28443312 in words is "twenty-eight million, four hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1291 1296 1377 1836 2448 2582 2754 3672 3873 5164 5508 7344 7746 10328 11016 11619 15492 20656 21947 22032 23238 30984 34857 43894 46476 61968 65841 69714 87788 92952 104571 131682 139428 175576 185904 197523 209142 263364 278856 351152 395046 418284 526728 557712 592569 790092 836568 1053456 1185138 1580184 1673136 1777707 2370276 3160368 3555414 4740552 7110828 9481104 14221656 28443312