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28330016 = 25111341151
BaseRepresentation
bin110110000010…
…0100000100000
31222022022110212
41230010200200
524223030031
62451113252
7462541541
oct154044040
958268425
1028330016
1114a9a840
1295a2828
135b3bb30
143a964c8
15274912b
hex1b04820

28330016 has 96 divisors (see below), whose sum is σ = 67568256. Its totient is φ = 11520000.

The previous prime is 28330009. The next prime is 28330019. The reversal of 28330016 is 61003382.

It is a junction number, because it is equal to n+sod(n) for n = 28329973 and 28330000.

It is not an unprimeable number, because it can be changed into a prime (28330019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187541 + ... + 187691.

It is an arithmetic number, because the mean of its divisors is an integer number (703836).

Almost surely, 228330016 is an apocalyptic number.

28330016 is a gapful number since it is divisible by the number (26) 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 28330016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33784128).

28330016 is an abundant number, since it is smaller than the sum of its proper divisors (39238240).

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

28330016 is a wasteful number, since it uses less digits than its factorization.

28330016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 28330016 is about 5322.5948558950. The cubic root of 28330016 is about 304.8472441194.

Adding to 28330016 its reverse (61003382), we get a palindrome (89333398).

The spelling of 28330016 in words is "twenty-eight million, three hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 41 44 52 82 88 104 143 151 164 176 208 286 302 328 352 416 451 533 572 604 656 902 1066 1144 1208 1312 1661 1804 1963 2132 2288 2416 3322 3608 3926 4264 4576 4832 5863 6191 6644 7216 7852 8528 11726 12382 13288 14432 15704 17056 21593 23452 24764 26576 31408 43186 46904 49528 53152 62816 68101 80483 86372 93808 99056 136202 160966 172744 187616 198112 272404 321932 345488 544808 643864 690976 885313 1089616 1287728 1770626 2179232 2575456 3541252 7082504 14165008 28330016