Search a number
-
+
28803771360 = 25325713219809
BaseRepresentation
bin11010110100110101…
…101010101111100000
32202100101101012011200
4122310311222233200
5432442231140420
621122100441200
72036533005540
oct326465525740
982311335150
1028803771360
1111240a83821
1256ba3a9200
1329405c13c0
14157361b320
15b38ad5b90
hex6b4d6abe0

28803771360 has 288 divisors, whose sum is σ = 120976390080. Its totient is φ = 6077251584.

The previous prime is 28803771319. The next prime is 28803771439. The reversal of 28803771360 is 6317730882.

28803771360 is a `hidden beast` number, since 288 + 0 + 3 + 7 + 7 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 21136 + ... + 240944.

It is an arithmetic number, because the mean of its divisors is an integer number (420056910).

Almost surely, 228803771360 is an apocalyptic number.

28803771360 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 28803771360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60488195040).

28803771360 is an abundant number, since it is smaller than the sum of its proper divisors (92172618720).

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

28803771360 is a wasteful number, since it uses less digits than its factorization.

28803771360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219850 (or 219839 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 28803771360 in words is "twenty-eight billion, eight hundred three million, seven hundred seventy-one thousand, three hundred sixty".