823428 has 36 divisors (see below), whose sum is σ = 2113020. Its totient is φ = 270336.

The previous prime is 823421. The next prime is 823447. The reversal of 823428 is 824328.

It can be written as a sum of positive squares in 2 ways, for example, as 544644 + 278784 = 738^2 + 528^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (823421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3076 + ... + 3332.

It is an arithmetic number, because the mean of its divisors is an integer number (58695).

2⁸²³⁴²⁸ 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 823428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056510).

823428 is an abundant number, since it is smaller than the sum of its proper divisors (1289592).

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

823428 is a wasteful number, since it uses less digits than its factorization.

823428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 351 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 823428 is about 907.4293360918. The cubic root of 823428 is about 93.7292647475.

Subtracting 823428 from its reverse (824328), we obtain a square (900 = 30²).

It can be divided in two parts, 8 and 23428, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 823428 in words is "eight hundred twenty-three thousand, four hundred twenty-eight".