Search a number
-
+
28717750656 = 2732722953331
BaseRepresentation
bin11010101111101101…
…100001100110000000
32202010101111212221200
4122233231201212000
5432303221010111
621105345021200
72034436565400
oct325755414600
982111455850
1028717750656
11111a7470131
125695624800
13292883378a
141566028800
15b31293256
hex6afb61980

28717750656 has 576 divisors, whose sum is σ = 101627557200. Its totient is φ = 7749181440.

The previous prime is 28717750601. The next prime is 28717750657. The reversal of 28717750656 is 65605771782.

It is a happy number.

28717750656 is a `hidden beast` number, since 2 + 87 + 1 + 7 + 7 + 506 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28717750657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86760411 + ... + 86760741.

Almost surely, 228717750656 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 28717750656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50813778600).

28717750656 is an abundant number, since it is smaller than the sum of its proper divisors (72909806544).

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

28717750656 is a wasteful number, since it uses less digits than its factorization.

28717750656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 28717750656 in words is "twenty-eight billion, seven hundred seventeen million, seven hundred fifty thousand, six hundred fifty-six".