830388215328 has 768 divisors, whose sum is σ = 2769500160000. Its totient is φ = 217047527424.

The previous prime is 830388215323. The next prime is 830388215359. The reversal of 830388215328 is 823512883038.

830388215328 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (830388215323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2619521026 + ... + 2619521342.

It is an arithmetic number, because the mean of its divisors is an integer number (3606120000).

Almost surely, 2^830388215328 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 830388215328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384750080000).

830388215328 is an abundant number, since it is smaller than the sum of its proper divisors (1939111944672).

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

830388215328 is a wasteful number, since it uses less digits than its factorization.

830388215328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 830388215328 in words is "eight hundred thirty billion, three hundred eighty-eight million, two hundred fifteen thousand, three hundred twenty-eight".