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28381105368 = 23327211312761
BaseRepresentation
bin11010011011101001…
…010100110011011000
32201020221001112102200
4122123221110303120
5431111030332433
621012121330200
72023211262300
oct323351246330
981227045380
1028381105368
1111044437590
125600936960
1328a3b75095
141533436600
15b11946613
hex69ba54cd8

28381105368 has 432 divisors, whose sum is σ = 100924111080. Its totient is φ = 7124544000.

The previous prime is 28381105367. The next prime is 28381105381. The reversal of 28381105368 is 86350118382.

28381105368 is a `hidden beast` number, since 28 + 3 + 81 + 10 + 536 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28381105367) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 37294108 + ... + 37294868.

Almost surely, 228381105368 is an apocalyptic number.

28381105368 is a gapful number since it is divisible by the number (28) 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 28381105368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50462055540).

28381105368 is an abundant number, since it is smaller than the sum of its proper divisors (72543005712).

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

28381105368 is a wasteful number, since it uses less digits than its factorization.

28381105368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 28381105368 in words is "twenty-eight billion, three hundred eighty-one million, one hundred five thousand, three hundred sixty-eight".