1823328 has 72 divisors (see below), whose sum is σ = 5595408. Its totient is φ = 559872.

The previous prime is 1823303. The next prime is 1823357. The reversal of 1823328 is 8233281.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3501 + ... + 3987.

It is an arithmetic number, because the mean of its divisors is an integer number (77714).

2^1823328 is an apocalyptic number.

1823328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1823328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797704).

1823328 is an abundant number, since it is smaller than the sum of its proper divisors (3772080).

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

1823328 is a wasteful number, since it uses less digits than its factorization.

1823328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 505 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1823328 is about 1350.3066318433. The cubic root of 1823328 is about 122.1672881995.

It can be divided in two parts, 18 and 23328, that multiplied together give a square (419904 = 648²).

The spelling of 1823328 in words is "one million, eight hundred twenty-three thousand, three hundred twenty-eight".