28225834560 has 2016 divisors, whose sum is σ = 138641328000. Its totient is φ = 5364817920.

The previous prime is 28225834547. The next prime is 28225834561. The reversal of 28225834560 is 6543852282.

28225834560 is a `hidden beast` number, since 2 + 8 + 2 + 2 + 5 + 83 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 (28225834561) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 973304626 + ... + 973304654.

It is an arithmetic number, because the mean of its divisors is an integer number (68770500).

Almost surely, 2^28225834560 is an apocalyptic number.

28225834560 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 28225834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69320664000).

28225834560 is an abundant number, since it is smaller than the sum of its proper divisors (110415493440).

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

28225834560 is a wasteful number, since it uses less digits than its factorization.

28225834560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 28225834560 in words is "twenty-eight billion, two hundred twenty-five million, eight hundred thirty-four thousand, five hundred sixty".