Search a number
-
+
28729573056 = 2632233176841
BaseRepresentation
bin11010110000011010…
…100111111011000000
32202011012202112020100
4122300122213323000
5432314232314211
621110450242400
72034642225132
oct326032477300
982135675210
1028729573056
1111203105508
125699586400
13292b112992
141567825052
15b3232b156
hex6b06a7ec0

28729573056 has 168 divisors, whose sum is σ = 86212155744. Its totient is φ = 9129922560.

The previous prime is 28729573049. The next prime is 28729573121. The reversal of 28729573056 is 65037592782.

28729573056 is a `hidden beast` number, since 287 + 2 + 9 + 57 + 305 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28729572993 and 28729573011.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4196196 + ... + 4203036.

Almost surely, 228729573056 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 28729573056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43106077872).

28729573056 is an abundant number, since it is smaller than the sum of its proper divisors (57482582688).

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

28729573056 is a wasteful number, since it uses less digits than its factorization.

28729573056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7199 (or 7186 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 28729573056 in words is "twenty-eight billion, seven hundred twenty-nine million, five hundred seventy-three thousand, fifty-six".