Search a number
-
+
28812371328 = 273413241887
BaseRepresentation
bin11010110101010110…
…011110010110000000
32202100222120010010000
4122311112132112000
5433001431340303
621123005040000
72036666054406
oct326526362600
982328503100
1028812371328
1111245918034
125701256000
132942312940
141574819476
15b39733da3
hex6b559e580

28812371328 has 320 divisors, whose sum is σ = 92828625120. Its totient is φ = 8818606080.

The previous prime is 28812371311. The next prime is 28812371351. The reversal of 28812371328 is 82317321882.

28812371328 is a `hidden beast` number, since 288 + 1 + 237 + 132 + 8 = 666.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 32482501 + ... + 32483387.

Almost surely, 228812371328 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 28812371328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46414312560).

28812371328 is an abundant number, since it is smaller than the sum of its proper divisors (64016253792).

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

28812371328 is a wasteful number, since it uses less digits than its factorization.

28812371328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1146 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 28812371328 in words is "twenty-eight billion, eight hundred twelve million, three hundred seventy-one thousand, three hundred twenty-eight".