18028432900 has 81 divisors (see below), whose sum is σ = 40604940831. Its totient is φ = 6947666880.

The previous prime is 18028432897. The next prime is 18028432921. The reversal of 18028432900 is 923482081.

The square root of 18028432900 is 134270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 247810564 + 17780622336 = 15742^2 + 133344^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18028432900.

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 26 ways as a sum of consecutive naturals, for example, 38938069 + ... + 38938531.

Almost surely, 2^18028432900 is an apocalyptic number.

18028432900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18028432900 is the 134270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18028432900

18028432900 is an abundant number, since it is smaller than the sum of its proper divisors (22576507931).

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

18028432900 is an equidigital number, since it uses as much as digits as its factorization.

18028432900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 18028432900 in words is "eighteen billion, twenty-eight million, four hundred thirty-two thousand, nine hundred".