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28303224768 = 263572132857
BaseRepresentation
bin11010010111000000…
…001110111111000000
32201001111111210100000
4122113000032333000
5430431111143033
621000300200000
72021244304200
oct322700167700
981044453300
1028303224768
1111004483755
12559a839000
1328909a75a0
141526d62400
15b09bb0a13
hex69700efc0

28303224768 has 504 divisors, whose sum is σ = 105431459952. Its totient is φ = 7461974016.

The previous prime is 28303224767. The next prime is 28303224791. The reversal of 28303224768 is 86742230382.

28303224768 is a `hidden beast` number, since 283 + 0 + 322 + 47 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28303224767) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9905196 + ... + 9908052.

Almost surely, 228303224768 is an apocalyptic number.

28303224768 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 28303224768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52715729976).

28303224768 is an abundant number, since it is smaller than the sum of its proper divisors (77128235184).

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

28303224768 is a wasteful number, since it uses less digits than its factorization.

28303224768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 28303224768 in words is "twenty-eight billion, three hundred three million, two hundred twenty-four thousand, seven hundred sixty-eight".