820343328 has 192 divisors, whose sum is σ = 2591834112. Its totient is φ = 222243840.

The previous prime is 820343327. The next prime is 820343393. The reversal of 820343328 is 823343028.

It is not an unprimeable number, because it can be changed into a prime (820343327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103725 + ... + 1104467.

It is an arithmetic number, because the mean of its divisors is an integer number (13499136).

Almost surely, 2^820343328 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 820343328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295917056).

820343328 is an abundant number, since it is smaller than the sum of its proper divisors (1771490784).

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

820343328 is a wasteful number, since it uses less digits than its factorization.

820343328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 820343328 is about 28641.6362661074. The cubic root of 820343328 is about 936.1207748311.

The spelling of 820343328 in words is "eight hundred twenty million, three hundred forty-three thousand, three hundred twenty-eight".