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28233216 = 293211557
BaseRepresentation
bin110101110110…
…0111000000000
31222010101200200
41223230320000
524211430331
62445045200
7461656404
oct153547000
958111620
1028233216
1114a34040
129556800
135b06a5b
143a6d104
15272a5e6
hex1aece00

28233216 has 120 divisors (see below), whose sum is σ = 89050104. Its totient is φ = 8540160.

The previous prime is 28233199. The next prime is 28233217. The reversal of 28233216 is 61233282.

It is a super-2 number, since 2×282332162 = 1594228971405312, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28233216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28233217) 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 11 ways as a sum of consecutive naturals, for example, 50410 + ... + 50966.

Almost surely, 228233216 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 28233216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44525052).

28233216 is an abundant number, since it is smaller than the sum of its proper divisors (60816888).

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

28233216 is a wasteful number, since it uses less digits than its factorization.

28233216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 573 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 28233216 is about 5313.4937658757. The cubic root of 28233216 is about 304.4996400458.

Adding to 28233216 its reverse (61233282), we get a palindrome (89466498).

The spelling of 28233216 in words is "twenty-eight million, two hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 557 576 704 768 792 1056 1114 1152 1408 1536 1584 1671 2112 2228 2304 2816 3168 3342 4224 4456 4608 5013 5632 6127 6336 6684 8448 8912 10026 12254 12672 13368 16896 17824 18381 20052 24508 25344 26736 35648 36762 40104 49016 50688 53472 55143 71296 73524 80208 98032 106944 110286 142592 147048 160416 196064 213888 220572 285184 294096 320832 392128 427776 441144 588192 641664 784256 855552 882288 1176384 1283328 1568512 1764576 2352768 2566656 3137024 3529152 4705536 7058304 9411072 14116608 28233216