1835328 has 84 divisors (see below), whose sum is σ = 5405120. Its totient is φ = 549120.

The previous prime is 1835321. The next prime is 1835329. The reversal of 1835328 is 8235381.

It is a happy number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1835295 and 1835304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1835321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23193 + ... + 23271.

2^1835328 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 1835328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702560).

1835328 is an abundant number, since it is smaller than the sum of its proper divisors (3569792).

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

1835328 is a wasteful number, since it uses less digits than its factorization.

1835328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 1835328 is about 1354.7427800140. The cubic root of 1835328 is about 122.4347118433.

It can be divided in two parts, 18353 and 28, that added together give a palindrome (18381).

The spelling of 1835328 in words is "one million, eight hundred thirty-five thousand, three hundred twenty-eight".