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28195879680 = 283451511801
BaseRepresentation
bin11010010000100110…
…101111101100000000
32200210000112002120000
4122100212233230000
5430221121122210
620541503320000
72015502010563
oct322046575400
980700462500
1028195879680
1110a59925801
12556a8b0000
132874691797
1415169bc4da
15b00559ac0
hex6909afb00

28195879680 has 360 divisors, whose sum is σ = 101614549344. Its totient is φ = 7464960000.

The previous prime is 28195879661. The next prime is 28195879741. The reversal of 28195879680 is 8697859182.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15654780 + ... + 15656580.

Almost surely, 228195879680 is an apocalyptic number.

28195879680 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 28195879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50807274672).

28195879680 is an abundant number, since it is smaller than the sum of its proper divisors (73418669664).

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

28195879680 is a wasteful number, since it uses less digits than its factorization.

28195879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 28195879680 in words is "twenty-eight billion, one hundred ninety-five million, eight hundred seventy-nine thousand, six hundred eighty".