809696628 has 192 divisors, whose sum is σ = 2408448000. Its totient is φ = 233186688.

The previous prime is 809696627. The next prime is 809696639. The reversal of 809696628 is 826696908.

809696628 is a `hidden beast` number, since 8 + 0 + 9 + 6 + 9 + 6 + 628 = 666.

809696628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809696627) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3387733 + ... + 3387971.

It is an arithmetic number, because the mean of its divisors is an integer number (12544000).

Almost surely, 2^809696628 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 809696628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204224000).

809696628 is an abundant number, since it is smaller than the sum of its proper divisors (1598751372).

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

809696628 is a wasteful number, since it uses less digits than its factorization.

809696628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 809696628 is about 28455.1687396157. The cubic root of 809696628 is about 932.0533610394.

The spelling of 809696628 in words is "eight hundred nine million, six hundred ninety-six thousand, six hundred twenty-eight".