28805836308480 has 2736 divisors, whose sum is σ = 132944754821760. Its totient is φ = 5792543539200.

The previous prime is 28805836308461. The next prime is 28805836308527. The reversal of 28805836308480 is 8480363850882.

28805836308480 is a `hidden beast` number, since 2 + 8 + 8 + 0 + 583 + 6 + 3 + 0 + 8 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 929220526065 + ... + 929220526095.

It is an arithmetic number, because the mean of its divisors is an integer number (48590919160).

Almost surely, 2^{28805836308480} is an apocalyptic number.

28805836308480 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 28805836308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66472377410880).

28805836308480 is an abundant number, since it is smaller than the sum of its proper divisors (104138918513280).

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

28805836308480 is an frugal number, since it uses more digits than its factorization.

28805836308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 28805836308480 in words is "twenty-eight trillion, eight hundred five billion, eight hundred thirty-six million, three hundred eight thousand, four hundred eighty".