814928 has 30 divisors (see below), whose sum is σ = 1662282. Its totient is φ = 386880.

The previous prime is 814927. The next prime is 814937. The reversal of 814928 is 829418.

It is a happy number.

814928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 753424 + 61504 = 868^2 + 248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 814894 and 814903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814927) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15350 + ... + 15402.

2⁸¹⁴⁹²⁸ 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 814928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831141).

814928 is an abundant number, since it is smaller than the sum of its proper divisors (847354).

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

814928 is a wasteful number, since it uses less digits than its factorization.

814928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 86 counting only the distinct ones).

The product of its digits is 4608, while the sum is 32.

The square root of 814928 is about 902.7336262708. The cubic root of 814928 is about 93.4056355853.

The spelling of 814928 in words is "eight hundred fourteen thousand, nine hundred twenty-eight".