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28318356000 = 253353113197
BaseRepresentation
bin11010010111111001…
…111101001000100000
32201002112222112111000
4122113321331020200
5430443444343000
621002000352000
72021520024444
oct322771751040
981075875430
1028318356000
1111011a79000
1255a3915600
132893b7488c
141528d80824
15b0b19e000
hex697e7d220

28318356000 has 768 divisors, whose sum is σ = 113954480640. Its totient is φ = 6830208000.

The previous prime is 28318355981. The next prime is 28318356007. The reversal of 28318356000 is 65381382.

28318356000 is a `hidden beast` number, since 2 + 8 + 3 + 18 + 35 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28318356007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143747902 + ... + 143748098.

It is an arithmetic number, because the mean of its divisors is an integer number (148378230).

Almost surely, 228318356000 is an apocalyptic number.

28318356000 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 28318356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56977240320).

28318356000 is an abundant number, since it is smaller than the sum of its proper divisors (85636124640).

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

28318356000 is a wasteful number, since it uses less digits than its factorization.

28318356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 28318356000 in words is "twenty-eight billion, three hundred eighteen million, three hundred fifty-six thousand".