28409819760960 has 448 divisors, whose sum is σ = 98639551954944. Its totient is φ = 6870575923200.

The previous prime is 28409819760941. The next prime is 28409819760967. The reversal of 28409819760960 is 6906791890482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28409819760967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13457990305 + ... + 13457992415.

It is an arithmetic number, because the mean of its divisors is an integer number (220177571328).

Almost surely, 2^{28409819760960} is an apocalyptic number.

28409819760960 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 28409819760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49319775977472).

28409819760960 is an abundant number, since it is smaller than the sum of its proper divisors (70229732193984).

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

28409819760960 is a wasteful number, since it uses less digits than its factorization.

28409819760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 69.

The spelling of 28409819760960 in words is "twenty-eight trillion, four hundred nine billion, eight hundred nineteen million, seven hundred sixty thousand, nine hundred sixty".