823728 has 30 divisors (see below), whose sum is σ = 2144332. Its totient is φ = 272480.

The previous prime is 823727. The next prime is 823729. The reversal of 823728 is 827328.

It is an interprime number because it is at equal distance from previous prime (823727) and next prime (823729).

It is a d-powerful number, because it can be written as 8 + 2⁵ + 7⁷ + 3² + 2⁷ + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 823695 and 823704.

It is not an unprimeable number, because it can be changed into a prime (823721) 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, 6223 + ... + 6353.

2⁸²³⁷²⁸ is an apocalyptic number.

It is an amenable number.

823728 is an abundant number, since it is smaller than the sum of its proper divisors (1320604).

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

823728 is a wasteful number, since it uses less digits than its factorization.

823728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 136 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 823728 is about 907.5946231661. The cubic root of 823728 is about 93.7406461779.

Subtracting 823728 from its reverse (827328), we obtain a square (3600 = 60²).

It can be divided in two parts, 823 and 728, that added together give a palindrome (1551).

The spelling of 823728 in words is "eight hundred twenty-three thousand, seven hundred twenty-eight".