813428 has 48 divisors (see below), whose sum is σ = 1881600. Its totient is φ = 298080.

The previous prime is 813427. The next prime is 813443. The reversal of 813428 is 824318.

813428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×813428² = 1323330222368, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 813397 and 813406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813427) 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, 5783 + ... + 5921.

It is an arithmetic number, because the mean of its divisors is an integer number (39200).

2⁸¹³⁴²⁸ 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 813428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940800).

813428 is an abundant number, since it is smaller than the sum of its proper divisors (1068172).

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

813428 is a wasteful number, since it uses less digits than its factorization.

813428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 178 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 813428 is about 901.9024337477. The cubic root of 813428 is about 93.3482912535.

The spelling of 813428 in words is "eight hundred thirteen thousand, four hundred twenty-eight".