809628 has 48 divisors (see below), whose sum is σ = 2056320. Its totient is φ = 247104.

The previous prime is 809603. The next prime is 809629. The reversal of 809628 is 826908.

809628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

809628 is a nontrivial binomial coefficient, being equal to C(1273, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809629) by changing a digit.

809628 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12051 + ... + 12117.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

2⁸⁰⁹⁶²⁸ is an apocalyptic number.

809628 is the 1272-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028160).

809628 is an abundant number, since it is smaller than the sum of its proper divisors (1246692).

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

809628 is a wasteful number, since it uses less digits than its factorization.

809628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 809628 is about 899.7933095995. The cubic root of 809628 is about 93.2027027405.

The spelling of 809628 in words is "eight hundred nine thousand, six hundred twenty-eight".