815380459728 has 320 divisors, whose sum is σ = 2288913500160. Its totient is φ = 249483520000.

The previous prime is 815380459697. The next prime is 815380459757. The reversal of 815380459728 is 827954083518.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 866503738 + ... + 866504678.

It is an arithmetic number, because the mean of its divisors is an integer number (7152854688).

Almost surely, 2^815380459728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815380459728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144456750080).

815380459728 is an abundant number, since it is smaller than the sum of its proper divisors (1473533040432).

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

815380459728 is a wasteful number, since it uses less digits than its factorization.

815380459728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 815380459728 in words is "eight hundred fifteen billion, three hundred eighty million, four hundred fifty-nine thousand, seven hundred twenty-eight".