1828736 has 64 divisors (see below), whose sum is σ = 4512480. Its totient is φ = 718848.

The previous prime is 1828727. The next prime is 1828759. The reversal of 1828736 is 6378281.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1828696 and 1828705.

It is a congruent number.

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, 11570 + ... + 11726.

2^1828736 is an apocalyptic number.

1828736 is a gapful number since it is divisible by the number (16) 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 1828736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256240).

1828736 is an abundant number, since it is smaller than the sum of its proper divisors (2683744).

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

1828736 is a wasteful number, since it uses less digits than its factorization.

1828736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 1828736 is about 1352.3076573029. The cubic root of 1828736 is about 122.2879519116.

The spelling of 1828736 in words is "one million, eight hundred twenty-eight thousand, seven hundred thirty-six".