18028830960 has 720 divisors, whose sum is σ = 75941139456. Its totient is φ = 3893349888.

The previous prime is 18028830949. The next prime is 18028831031. The reversal of 18028830960 is 6903882081.

18028830960 is a `hidden beast` number, since 1 + 8 + 0 + 288 + 309 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49124697 + ... + 49125063.

Almost surely, 2^18028830960 is an apocalyptic number.

18028830960 is a gapful number since it is divisible by the number (10) 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 18028830960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37970569728).

18028830960 is an abundant number, since it is smaller than the sum of its proper divisors (57912308496).

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

18028830960 is a wasteful number, since it uses less digits than its factorization.

18028830960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 18028830960 in words is "eighteen billion, twenty-eight million, eight hundred thirty thousand, nine hundred sixty".