820931328 has 432 divisors, whose sum is σ = 2990453760. Its totient is φ = 217479168.

The previous prime is 820931291. The next prime is 820931383. The reversal of 820931328 is 823139028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 820931292 and 820931301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17466601 + ... + 17466647.

Almost surely, 2^820931328 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 820931328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495226880).

820931328 is an abundant number, since it is smaller than the sum of its proper divisors (2169522432).

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

820931328 is a wasteful number, since it uses less digits than its factorization.

820931328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 820931328 is about 28651.8992040667. The cubic root of 820931328 is about 936.3443834658.

The spelling of 820931328 in words is "eight hundred twenty million, nine hundred thirty-one thousand, three hundred twenty-eight".