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28318023360 = 26335111721031
BaseRepresentation
bin11010010111111000…
…101011111011000000
32201002112100122012000
4122113320223323000
5430443403221420
621001545304000
72021514140604
oct322770537300
981075318160
1028318023360
11110118710a0
1255a3795000
132893a89353
141528cd5504
15b0b135690
hex697e2bec0

28318023360 has 672 divisors, whose sum is σ = 115881546240. Its totient is φ = 6454886400.

The previous prime is 28318023359. The next prime is 28318023379. The reversal of 28318023360 is 6332081382.

28318023360 is a `hidden beast` number, since 2 + 8 + 318 + 0 + 2 + 336 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27466045 + ... + 27467075.

Almost surely, 228318023360 is an apocalyptic number.

28318023360 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 28318023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57940773120).

28318023360 is an abundant number, since it is smaller than the sum of its proper divisors (87563522880).

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

28318023360 is a wasteful number, since it uses less digits than its factorization.

28318023360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 28318023360 in words is "twenty-eight billion, three hundred eighteen million, twenty-three thousand, three hundred sixty".