Search a number
-
+
28462846208 = 28438293119
BaseRepresentation
bin11010100000100001…
…001001000100000000
32201110121212101210012
4122200201021010000
5431242442034313
621024201324052
72025223125626
oct324041110400
981417771705
1028462846208
11110865976a5
125624196628
1328b7a94944
141540233516
15b18be0da8
hex6a0849100

28462846208 has 72 divisors (see below), whose sum is σ = 58224566400. Its totient is φ = 13879240704.

The previous prime is 28462846189. The next prime is 28462846249. The reversal of 28462846208 is 80264826482.

It is a super-2 number, since 2×284628462082 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9124073 + ... + 9127191.

Almost surely, 228462846208 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 28462846208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29112283200).

28462846208 is an abundant number, since it is smaller than the sum of its proper divisors (29761720192).

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

28462846208 is an equidigital number, since it uses as much as digits as its factorization.

28462846208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 50.

The spelling of 28462846208 in words is "twenty-eight billion, four hundred sixty-two million, eight hundred forty-six thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 688 829 1376 1658 2752 3119 3316 5504 6238 6632 11008 12476 13264 24952 26528 35647 49904 53056 71294 99808 106112 134117 142588 199616 212224 268234 285176 399232 536468 570352 798464 1072936 1140704 2145872 2281408 2585651 4291744 4562816 5171302 8583488 9125632 10342604 17166976 20685208 34333952 41370416 82740832 111182993 165481664 222365986 330963328 444731972 661926656 889463944 1778927888 3557855776 7115711552 14231423104 28462846208