815628 has 48 divisors (see below), whose sum is σ = 2145024. Its totient is φ = 239040.

The previous prime is 815627. The next prime is 815653. The reversal of 815628 is 826518.

It is a junction number, because it is equal to n+sod(n) for n = 815595 and 815604.

It is not an unprimeable number, because it can be changed into a prime (815621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4801 + ... + 4967.

It is an arithmetic number, because the mean of its divisors is an integer number (44688).

2⁸¹⁵⁶²⁸ 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 815628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072512).

815628 is an abundant number, since it is smaller than the sum of its proper divisors (1329396).

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

815628 is a wasteful number, since it uses less digits than its factorization.

815628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 220 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 815628 is about 903.1212543175. The cubic root of 815628 is about 93.4323721939.

The spelling of 815628 in words is "eight hundred fifteen thousand, six hundred twenty-eight".