1829490688 has 52 divisors (see below), whose sum is σ = 3672680580. Its totient is φ = 911212544.

The previous prime is 1829490673. The next prime is 1829490701. The reversal of 1829490688 is 8860949281.

It can be written as a sum of positive squares in 2 ways, for example, as 56070144 + 1773420544 = 7488^2 + 42112^2 .

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 3 ways as a sum of consecutive naturals, for example, 1297728 + ... + 1299136.

Almost surely, 2^1829490688 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 1829490688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836340290).

1829490688 is an abundant number, since it is smaller than the sum of its proper divisors (1843189892).

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

1829490688 is an equidigital number, since it uses as much as digits as its factorization.

1829490688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 55.

The square root of 1829490688 is about 42772.5459611653. The cubic root of 1829490688 is about 1223.0477164527.

The spelling of 1829490688 in words is "one billion, eight hundred twenty-nine million, four hundred ninety thousand, six hundred eighty-eight".