28246640760 has 384 divisors, whose sum is σ = 105846773760. Its totient is φ = 6727795200.

The previous prime is 28246640753. The next prime is 28246640761. The reversal of 28246640760 is 6704664282.

28246640760 is a `hidden beast` number, since 2 + 82 + 466 + 40 + 76 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28246640761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3913555 + ... + 3920765.

It is an arithmetic number, because the mean of its divisors is an integer number (275642640).

Almost surely, 2^28246640760 is an apocalyptic number.

28246640760 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 28246640760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52923386880).

28246640760 is an abundant number, since it is smaller than the sum of its proper divisors (77600133000).

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

28246640760 is a wasteful number, since it uses less digits than its factorization.

28246640760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7281 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 28246640760 in words is "twenty-eight billion, two hundred forty-six million, six hundred forty thousand, seven hundred sixty".