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28408424286224 = 2429859174140939
BaseRepresentation
bin1100111010110010110100…
…00010011100100000010000
310201120211002221012100200202
412131121122002130200100
512210420423104124344
6140230352220034332
75661304144134323
oct635313202344020
9121524087170622
1028408424286224
119062a439a3594
1232298ab9929a8
1312b0b97921c78
14702d918507ba
15343e7d09e94e
hex19d65a09c810

28408424286224 has 80 divisors (see below), whose sum is σ = 57039720504000. Its totient is φ = 13690243607040.

The previous prime is 28408424286167. The next prime is 28408424286227. The reversal of 28408424286224 is 42268242480482.

It is a super-2 number, since 2×284084242862242 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28408424286224.

It is not an unprimeable number, because it can be changed into a prime (28408424286227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693900347 + ... + 693941285.

It is an arithmetic number, because the mean of its divisors is an integer number (712996506300).

Almost surely, 228408424286224 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 28408424286224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28519860252000).

28408424286224 is an abundant number, since it is smaller than the sum of its proper divisors (28631296217776).

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

28408424286224 is a wasteful number, since it uses less digits than its factorization.

28408424286224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43576 (or 43570 counting only the distinct ones).

The product of its (nonzero) digits is 25165824, while the sum is 56.

The spelling of 28408424286224 in words is "twenty-eight trillion, four hundred eight billion, four hundred twenty-four million, two hundred eighty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 859 1718 1741 3436 3482 6872 6964 13744 13928 24911 27856 40939 49822 50489 81878 99644 100978 163756 199288 201956 327512 398576 403912 655024 807824 1187231 1495519 2374462 2991038 4748924 5982076 9497848 11964152 18995696 23928304 35166601 43370051 70333202 71274799 86740102 140666404 142549598 173480204 281332808 285099196 346960408 562665616 570198392 693920816 1019831429 1140396784 2039662858 2066969171 4079325716 4133938342 8158651432 8267876684 16317302864 16535753368 33071506736 61225052341 122450104682 244900209364 489800418728 979600837456 1775526517889 3551053035778 7102106071556 14204212143112 28408424286224