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28468300336 = 24717927933
BaseRepresentation
bin11010100000110101…
…111100101000110000
32201111000010111102221
4122200311330220300
5431300341102321
621024514250424
72025320363110
oct324065745060
981430114387
1028468300336
1111089682443
125625b86a14
1328b8c54338
141540c53040
15b1941be41
hex6a0d7ca30

28468300336 has 60 divisors (see below), whose sum is σ = 63399070672. Its totient is φ = 12131010432.

The previous prime is 28468300321. The next prime is 28468300369. The reversal of 28468300336 is 63300386482.

It is a junction number, because it is equal to n+sod(n) for n = 28468300292 and 28468300301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3584626 + ... + 3592558.

Almost surely, 228468300336 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 28468300336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31699535336).

28468300336 is an abundant number, since it is smaller than the sum of its proper divisors (34930770336).

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

28468300336 is an equidigital number, since it uses as much as digits as its factorization.

28468300336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8306 (or 8121 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 43.

The spelling of 28468300336 in words is "twenty-eight billion, four hundred sixty-eight million, three hundred thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 179 358 716 1253 1432 2506 2864 5012 7933 10024 15866 20048 31732 32041 55531 63464 64082 111062 126928 128164 222124 224287 256328 444248 448574 512656 888496 897148 1420007 1794296 2840014 3588592 5680028 9940049 11360056 19880098 22720112 39760196 79520392 159040784 254181253 508362506 1016725012 1779268771 2033450024 3558537542 4066900048 7117075084 14234150168 28468300336