Search a number
-
+
28559243520 = 2833519233161
BaseRepresentation
bin11010100110010000…
…110111100100000000
32201201100020220001000
4122212100313210000
5431442131243040
621041523412000
72030503364433
oct324620674400
981640226030
1028559243520
1111125a483a5
125650524000
132901a46682
14154cd6781a
15b223d3130
hex6a6437900

28559243520 has 1152 divisors, whose sum is σ = 116792524800. Its totient is φ = 6569164800.

The previous prime is 28559243467. The next prime is 28559243549. The reversal of 28559243520 is 2534295582.

28559243520 is a `hidden beast` number, since 2 + 8 + 5 + 592 + 4 + 3 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 468184290 + ... + 468184350.

It is an arithmetic number, because the mean of its divisors is an integer number (101382400).

Almost surely, 228559243520 is an apocalyptic number.

28559243520 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 28559243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58396262400).

28559243520 is an abundant number, since it is smaller than the sum of its proper divisors (88233281280).

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

28559243520 is a wasteful number, since it uses less digits than its factorization.

28559243520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 28559243520 in words is "twenty-eight billion, five hundred fifty-nine million, two hundred forty-three thousand, five hundred twenty".