810347328 has 280 divisors, whose sum is σ = 2782287552. Its totient is φ = 228427776.

The previous prime is 810347327. The next prime is 810347333. The reversal of 810347328 is 823743018.

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 = 810347292 and 810347301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810347327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4971375 + ... + 4971537.

Almost surely, 2^810347328 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 810347328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391143776).

810347328 is an abundant number, since it is smaller than the sum of its proper divisors (1971940224).

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

810347328 is a wasteful number, since it uses less digits than its factorization.

810347328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 810347328 is about 28466.6002185017. The cubic root of 810347328 is about 932.3029708764.

The spelling of 810347328 in words is "eight hundred ten million, three hundred forty-seven thousand, three hundred twenty-eight".