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28073481195600 = 243652173127183
BaseRepresentation
bin1100110001000010111011…
…10111111101000001010000
310200101210120011200102000000
412120201131313331001100
512134423442141224400
6135412440151130000
75625146014631121
oct630413567750120
9120353504612000
1028073481195600
118a439952960a5
1231949b4073900
131288419606999
146d0a999b8048
1533a3c7d52600
hex19885ddfd050

28073481195600 has 2520 divisors, whose sum is σ = 113547371628096. Its totient is φ = 6641574912000.

The previous prime is 28073481195553. The next prime is 28073481195623. The reversal of 28073481195600 is 659118437082.

28073481195600 is a `hidden beast` number, since 2 + 8 + 0 + 73 + 4 + 8 + 1 + 1 + 9 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 338234713159 + ... + 338234713241.

It is a 1-persistent number, because it is pandigital, but 2⋅28073481195600 = 56146962391200 is not.

Almost surely, 228073481195600 is an apocalyptic number.

28073481195600 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 28073481195600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56773685814048).

28073481195600 is an abundant number, since it is smaller than the sum of its proper divisors (85473890432496).

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

28073481195600 is a wasteful number, since it uses less digits than its factorization.

28073481195600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 28073481195600 in words is "twenty-eight trillion, seventy-three billion, four hundred eighty-one million, one hundred ninety-five thousand, six hundred".