Search a number
-
+
28710858084480 = 2736511213192971
BaseRepresentation
bin1101000011100110001000…
…11111110101000010000000
310202122201202001202011000000
412201303010133311002000
512230344314132200410
6141021330334000000
76022201554041505
oct641630437650200
9122581661664000
1028710858084480
11916a22a997500
123278434346000
131303564a41290
14713881ccd4ac
1534bc7e25ddc0
hex1a1cc47f5080

28710858084480 has 5376 divisors, whose sum is σ = 134516331936000. Its totient is φ = 5794003353600.

The previous prime is 28710858084421. The next prime is 28710858084487. The reversal of 28710858084480 is 8448085801782.

28710858084480 is a `hidden beast` number, since 2 + 8 + 7 + 1 + 0 + 8 + 580 + 8 + 4 + 48 + 0 = 666.

28710858084480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28710858084487) by changing a digit.

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 671 ways as a sum of consecutive naturals, for example, 404378282845 + ... + 404378282915.

It is an arithmetic number, because the mean of its divisors is an integer number (25021639125).

Almost surely, 228710858084480 is an apocalyptic number.

28710858084480 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 28710858084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67258165968000).

28710858084480 is an abundant number, since it is smaller than the sum of its proper divisors (105805473851520).

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

28710858084480 is a wasteful number, since it uses less digits than its factorization.

28710858084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 36700160, while the sum is 63.

The spelling of 28710858084480 in words is "twenty-eight trillion, seven hundred ten billion, eight hundred fifty-eight million, eighty-four thousand, four hundred eighty".