1833728 has 72 divisors (see below), whose sum is σ = 4292400. Its totient is φ = 774144.

The previous prime is 1833701. The next prime is 1833731. The reversal of 1833728 is 8273381.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (8064) is a multiple of the sum of its prime divisors (63).

It is a junction number, because it is equal to n+sod(n) for n = 1833694 and 1833703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63218 + ... + 63246.

2^1833728 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 1833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146200).

1833728 is an abundant number, since it is smaller than the sum of its proper divisors (2458672).

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

1833728 is a wasteful number, since it uses less digits than its factorization.

1833728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 63 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 1833728 is about 1354.1521332553. The cubic root of 1833728 is about 122.3991228382.

The spelling of 1833728 in words is "one million, eight hundred thirty-three thousand, seven hundred twenty-eight".