Search a number
-
+
28079263296 = 263273725087
BaseRepresentation
bin11010001001101001…
…111000111001000000
32200110220002100221200
4122021221320321000
5430001242411141
620522140021200
72012554541250
oct321151707100
980426070850
1028079263296
11109aa015127
125537831800
1328564809c6
141505303960
15ae51c1ab6
hex689a78e40

28079263296 has 252 divisors, whose sum is σ = 94553641728. Its totient is φ = 7804283904.

The previous prime is 28079263279. The next prime is 28079263309. The reversal of 28079263296 is 69236297082.

It is a happy number.

28079263296 is a `hidden beast` number, since 28 + 0 + 79 + 263 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5517265 + ... + 5522351.

It is an arithmetic number, because the mean of its divisors is an integer number (375212864).

Almost surely, 228079263296 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 28079263296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47276820864).

28079263296 is an abundant number, since it is smaller than the sum of its proper divisors (66474378432).

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

28079263296 is a wasteful number, since it uses less digits than its factorization.

28079263296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 28079263296 in words is "twenty-eight billion, seventy-nine million, two hundred sixty-three thousand, two hundred ninety-six".