1801330128 has 120 divisors (see below), whose sum is σ = 5616385320. Its totient is φ = 535127040.

The previous prime is 1801330109. The next prime is 1801330129. The reversal of 1801330128 is 8210331081.

It can be written as a sum of positive squares in 4 ways, for example, as 56430144 + 1744899984 = 7512^2 + 41772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1801330129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37698 + ... + 70878.

It is an arithmetic number, because the mean of its divisors is an integer number (46803211).

Almost surely, 2^1801330128 is an apocalyptic number.

1801330128 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 1801330128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808192660).

1801330128 is an abundant number, since it is smaller than the sum of its proper divisors (3815055192).

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

1801330128 is a wasteful number, since it uses less digits than its factorization.

1801330128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33237 (or 33228 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1801330128 is about 42442.0796851427. The cubic root of 1801330128 is about 1216.7399589383.

The spelling of 1801330128 in words is "one billion, eight hundred one million, three hundred thirty thousand, one hundred twenty-eight".