Search a number
-
+
28386440064 = 273317297293
BaseRepresentation
bin11010011011111101…
…101011001110000000
32201021022002120021000
4122123331223032000
5431113412040224
621012431532000
72023304521323
oct323375531600
981238076230
1028386440064
1111047450624
12560268a000
1328a4cc22c8
1415340247ba
15b1214c0c9
hex69bf6b380

28386440064 has 384 divisors, whose sum is σ = 90221896800. Its totient is φ = 8783659008.

The previous prime is 28386440009. The next prime is 28386440101. The reversal of 28386440064 is 46004468382.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96881902 + ... + 96882194.

Almost surely, 228386440064 is an apocalyptic number.

28386440064 is a gapful number since it is divisible by the number (24) 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 28386440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45110948400).

28386440064 is an abundant number, since it is smaller than the sum of its proper divisors (61835456736).

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

28386440064 is a wasteful number, since it uses less digits than its factorization.

28386440064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 28386440064 in words is "twenty-eight billion, three hundred eighty-six million, four hundred forty thousand, sixty-four".