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28223865360 = 24325411138461
BaseRepresentation
bin11010010010010001…
…100000001000010000
32200211222011220200200
4122102101200020100
5430300302142420
620544343215200
72016261616515
oct322221401020
980758156620
1028223865360
1110a736aa869
125578147500
13287a40c962
14151a5c530c
15b02c36b90
hex692460210

28223865360 has 240 divisors, whose sum is σ = 97967823408. Its totient is φ = 7276953600.

The previous prime is 28223865347. The next prime is 28223865361. The reversal of 28223865360 is 6356832282.

28223865360 is a `hidden beast` number, since 2 + 8 + 223 + 8 + 65 + 360 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6356553984 + 21867311376 = 79728^2 + 147876^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (28223865361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3331530 + ... + 3339990.

Almost surely, 228223865360 is an apocalyptic number.

28223865360 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 28223865360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48983911704).

28223865360 is an abundant number, since it is smaller than the sum of its proper divisors (69743958048).

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

28223865360 is a wasteful number, since it uses less digits than its factorization.

28223865360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8634 (or 8625 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 28223865360 in words is "twenty-eight billion, two hundred twenty-three million, eight hundred sixty-five thousand, three hundred sixty".