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28042380288 = 21032131997127
BaseRepresentation
bin11010000111011101…
…001100010000000000
32200101022200111222100
4122013131030100000
5424412322132123
620514341310400
72011626204516
oct320735142000
980338614870
1028042380288
11109902133aa
125527405400
13284b938b40
1415004624b6
15ae1d38643
hex68774c400

28042380288 has 528 divisors, whose sum is σ = 93466347520. Its totient is φ = 8026324992.

The previous prime is 28042380227. The next prime is 28042380319. The reversal of 28042380288 is 88208324082.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220806081 + ... + 220806207.

Almost surely, 228042380288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28042380288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46733173760).

28042380288 is an abundant number, since it is smaller than the sum of its proper divisors (65423967232).

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

28042380288 is a wasteful number, since it uses less digits than its factorization.

28042380288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 28042380288 in words is "twenty-eight billion, forty-two million, three hundred eighty thousand, two hundred eighty-eight".