28241926560 has 168 divisors, whose sum is σ = 100036978020. Its totient is φ = 7531149312.

The previous prime is 28241926547. The next prime is 28241926577. The reversal of 28241926560 is 6562914282.

28241926560 is a `hidden beast` number, since 2 + 82 + 4 + 1 + 9 + 2 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27054986256 + 1186940304 = 164484^2 + 34452^2 .

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 27 ways as a sum of consecutive naturals, for example, 4425 + ... + 237704.

Almost surely, 2^28241926560 is an apocalyptic number.

28241926560 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 28241926560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50018489010).

28241926560 is an abundant number, since it is smaller than the sum of its proper divisors (71795051460).

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

28241926560 is an equidigital number, since it uses as much as digits as its factorization.

28241926560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242162 (or 242139 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 28241926560 in words is "twenty-eight billion, two hundred forty-one million, nine hundred twenty-six thousand, five hundred sixty".