Search a number
-
+
28710327600000 = 273255173137409
BaseRepresentation
bin1101000011100101001001…
…11000001100001110000000
310202122200101002112202002200
412201302210320030032000
512230342222331200000
6141021201543513200
76022152453020514
oct641624470141600
9122580332482080
1028710327600000
119169a884a9682
123278306758800
1313034abb74837
14713831680144
1534bc4c8c3500
hex1a1ca4e0c380

28710327600000 has 2304 divisors, whose sum is σ = 116199887731200. Its totient is φ = 6768230400000.

The previous prime is 28710327599999. The next prime is 28710327600001. The reversal of 28710327600000 is 672301782.

28710327600000 is a `hidden beast` number, since 2 + 8 + 7 + 10 + 32 + 7 + 600 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28710327599999) and next prime (28710327600001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28710327600001) 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 287 ways as a sum of consecutive naturals, for example, 70196399796 + ... + 70196400204.

It is an arithmetic number, because the mean of its divisors is an integer number (50433979050).

Almost surely, 228710327600000 is an apocalyptic number.

28710327600000 is a gapful number since it is divisible by the number (20) 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 28710327600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58099943865600).

28710327600000 is an abundant number, since it is smaller than the sum of its proper divisors (87489560131200).

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

28710327600000 is a wasteful number, since it uses less digits than its factorization.

28710327600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 28710327600000 its reverse (672301782), we get a palindrome (28710999901782).

The spelling of 28710327600000 in words is "twenty-eight trillion, seven hundred ten billion, three hundred twenty-seven million, six hundred thousand".