18177020928 has 264 divisors, whose sum is σ = 60277108320. Its totient is φ = 5217730560.

The previous prime is 18177020899. The next prime is 18177020963. The reversal of 18177020928 is 82902077181.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1921426 + ... + 1930862.

It is an arithmetic number, because the mean of its divisors is an integer number (228322380).

Almost surely, 2^18177020928 is an apocalyptic number.

18177020928 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 18177020928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30138554160).

18177020928 is an abundant number, since it is smaller than the sum of its proper divisors (42100087392).

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

18177020928 is a wasteful number, since it uses less digits than its factorization.

18177020928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9493 (or 9472 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

It can be divided in two parts, 18 and 177020928, that multiplied together give a square (3186376704 = 56448²).

The spelling of 18177020928 in words is "eighteen billion, one hundred seventy-seven million, twenty thousand, nine hundred twenty-eight".