Search a number
-
+
28371863520 = 25311571113
BaseRepresentation
bin11010011011000110…
…000100011111100000
32201020021200000000000
4122123012010133200
5431101144113040
621011151300000
72023036601160
oct323306043740
981207600000
1028371863520
111103a1a4aa0
1255b981a600
1328a1c8a630
14153210c5a0
15b10c1d130
hex69b1847e0

28371863520 has 1152 divisors, whose sum is σ = 134994263040. Its totient is φ = 5441955840.

The previous prime is 28371863519. The next prime is 28371863543. The reversal of 28371863520 is 2536817382.

28371863520 is a `hidden beast` number, since 2 + 8 + 3 + 7 + 1 + 8 + 635 + 2 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2182451034 + ... + 2182451046.

It is an arithmetic number, because the mean of its divisors is an integer number (117182520).

Almost surely, 228371863520 is an apocalyptic number.

28371863520 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 28371863520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67497131520).

28371863520 is an abundant number, since it is smaller than the sum of its proper divisors (106622399520).

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

28371863520 is an equidigital number, since it uses as much as digits as its factorization.

28371863520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 28371863520 in words is "twenty-eight billion, three hundred seventy-one million, eight hundred sixty-three thousand, five hundred twenty".