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28208362752 = 28341780021
BaseRepresentation
bin11010010001010110…
…010111010100000000
32200210220000022010000
4122101112113110000
5430232320102002
620543031040000
72016013061433
oct322126272400
980726008100
1028208362752
1110a65981499
125572b10000
13287714260b
14151850b81a
15b016c361c
hex691597500

28208362752 has 180 divisors, whose sum is σ = 89061125076. Its totient is φ = 8849571840.

The previous prime is 28208362751. The next prime is 28208362759. The reversal of 28208362752 is 25726380282.

It is a happy number.

28208362752 is a `hidden beast` number, since 282 + 0 + 8 + 362 + 7 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9336197376 + 18872165376 = 96624^2 + 137376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 28208362698 and 28208362707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28208362751) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 312502 + ... + 392522.

Almost surely, 228208362752 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 28208362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44530562538).

28208362752 is an abundant number, since it is smaller than the sum of its proper divisors (60852762324).

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

28208362752 is an equidigital number, since it uses as much as digits as its factorization.

28208362752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80066 (or 80043 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 28208362752 in words is "twenty-eight billion, two hundred eight million, three hundred sixty-two thousand, seven hundred fifty-two".