28819786320 has 360 divisors, whose sum is σ = 105348971520. Its totient is φ = 7057290240.

The previous prime is 28819786273. The next prime is 28819786363. The reversal of 28819786320 is 2368791882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29081025 + ... + 29082015.

It is an arithmetic number, because the mean of its divisors is an integer number (292636032).

Almost surely, 2^28819786320 is an apocalyptic number.

28819786320 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 28819786320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52674485760).

28819786320 is an abundant number, since it is smaller than the sum of its proper divisors (76529185200).

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

28819786320 is a wasteful number, since it uses less digits than its factorization.

28819786320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 28819786320 in words is "twenty-eight billion, eight hundred nineteen million, seven hundred eighty-six thousand, three hundred twenty".