28319581297280 has 1024 divisors, whose sum is σ = 89300219904000. Its totient is φ = 8517184929792.

The previous prime is 28319581297261. The next prime is 28319581297321. The reversal of 28319581297280 is 8279218591382.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10698744917 + ... + 10698747563.

It is an arithmetic number, because the mean of its divisors is an integer number (87207246000).

Almost surely, 2^{28319581297280} is an apocalyptic number.

28319581297280 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 28319581297280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44650109952000).

28319581297280 is an abundant number, since it is smaller than the sum of its proper divisors (60980638606720).

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

28319581297280 is a wasteful number, since it uses less digits than its factorization.

28319581297280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 65.

The spelling of 28319581297280 in words is "twenty-eight trillion, three hundred nineteen billion, five hundred eighty-one million, two hundred ninety-seven thousand, two hundred eighty".