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28368000000 = 2103256197
BaseRepresentation
bin11010011010110111…
…010101010000000000
32201020000101201020200
4122122313111100000
5431044202000000
621010532405200
72022662010234
oct323267252000
981200351220
1028368000000
1111037aa62aa
1255b8476800
1328a1236c22
1415317c45c4
15b10708500
hex69add5400

28368000000 has 462 divisors, whose sum is σ = 102908409318. Its totient is φ = 7526400000.

The previous prime is 28367999993. The next prime is 28368000007. The reversal of 28368000000 is 86382.

It is an interprime number because it is at equal distance from previous prime (28367999993) and next prime (28368000007).

It can be written as a sum of positive squares in 7 ways, for example, as 26073206784 + 2294793216 = 161472^2 + 47904^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28368000007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 143999902 + ... + 144000098.

Almost surely, 228368000000 is an apocalyptic number.

28368000000 is a gapful number since it is divisible by the number (20) 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 28368000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51454204659).

28368000000 is an abundant number, since it is smaller than the sum of its proper divisors (74540409318).

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

28368000000 is an frugal number, since it uses more digits than its factorization.

28368000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 28368000000 its reverse (86382), we get a palindrome (28368086382).

The spelling of 28368000000 in words is "twenty-eight billion, three hundred sixty-eight million", and thus it is an aban number.