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16280828928 = 21035713719
BaseRepresentation
bin11110010100110100…
…11011110000000000
31120000122020210200000
433022122123300000
5231320343011203
611251310400000
71114311522360
oct171232336000
946018223600
1016280828928
1169a5115821
1231a4500000
1316c6000cb0
14b063949a0
156544b94a3
hex3ca69bc00

16280828928 has 528 divisors, whose sum is σ = 60085509120. Its totient is φ = 4287873024.

The previous prime is 16280828891. The next prime is 16280828929. The reversal of 16280828928 is 82982808261.

It is a happy number.

16280828928 is a `hidden beast` number, since 1 + 628 + 0 + 8 + 2 + 8 + 9 + 2 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16280828929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22643353 + ... + 22644071.

Almost surely, 216280828928 is an apocalyptic number.

16280828928 is a gapful number since it is divisible by the number (18) 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 16280828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30042754560).

16280828928 is an abundant number, since it is smaller than the sum of its proper divisors (43804680192).

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

16280828928 is an equidigital number, since it uses as much as digits as its factorization.

16280828928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 16280828928 in words is "sixteen billion, two hundred eighty million, eight hundred twenty-eight thousand, nine hundred twenty-eight".