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728996112 = 24351314423
BaseRepresentation
bin101011011100111…
…001100100010000
31212210201211200000
4223130321210100
52443110333422
6200200530000
724031236045
oct5334714420
91783654600
10728996112
11344554629
12184180900
13b8052460
146cb651cc
1543eedcac
hex2b739910

728996112 has 120 divisors (see below), whose sum is σ = 2278645824. Its totient is φ = 224290944.

The previous prime is 728996101. The next prime is 728996119. The reversal of 728996112 is 211699827.

728996112 is a `hidden beast` number, since 7 + 28 + 9 + 9 + 611 + 2 = 666.

It is a super-2 number, since 2×7289961122 = 1062870662622233088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (728996119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43333 + ... + 57755.

Almost surely, 2728996112 is an apocalyptic number.

728996112 is a gapful number since it is divisible by the number (72) 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 728996112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139322912).

728996112 is an abundant number, since it is smaller than the sum of its proper divisors (1549649712).

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

728996112 is a wasteful number, since it uses less digits than its factorization.

728996112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14459 (or 14441 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 728996112 is about 26999.9279999040. The cubic root of 728996112 is about 899.9983999972.

The spelling of 728996112 in words is "seven hundred twenty-eight million, nine hundred ninety-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 5616 6318 8424 12636 14423 16848 25272 28846 43269 50544 57692 86538 115384 129807 173076 187499 230768 259614 346152 374998 389421 519228 562497 692304 749996 778842 1038456 1124994 1168263 1499992 1557684 1687491 2076912 2249988 2336526 2999984 3115368 3374982 3504789 4499976 4673052 5062473 6230736 6749964 7009578 8999952 9346104 10124946 13499928 14019156 15187419 18692208 20249892 26999856 28038312 30374838 40499784 45562257 56076624 60749676 80999568 91124514 121499352 182249028 242998704 364498056 728996112