18609308928 has 576 divisors, whose sum is σ = 68442931200. Its totient is φ = 4867153920.

The previous prime is 18609308911. The next prime is 18609308929. The reversal of 18609308928 is 82980390681.

It is a happy number.

18609308928 is a `hidden beast` number, since 1 + 8 + 609 + 3 + 0 + 8 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×18609308928³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18609308929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28497850 + ... + 28498502.

Almost surely, 2^18609308928 is an apocalyptic number.

18609308928 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 18609308928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34221465600).

18609308928 is an abundant number, since it is smaller than the sum of its proper divisors (49833622272).

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

18609308928 is a wasteful number, since it uses less digits than its factorization.

18609308928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 18609308928 in words is "eighteen billion, six hundred nine million, three hundred eight thousand, nine hundred twenty-eight".