18128946528 has 384 divisors, whose sum is σ = 66189312000. Its totient is φ = 4689861120.

The previous prime is 18128946503. The next prime is 18128946571. The reversal of 18128946528 is 82564982181.

18128946528 is a `hidden beast` number, since 1 + 8 + 1 + 28 + 94 + 6 + 528 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 25213753 + ... + 25214471.

It is an arithmetic number, because the mean of its divisors is an integer number (172368000).

Almost surely, 2^18128946528 is an apocalyptic number.

18128946528 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 18128946528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33094656000).

18128946528 is an abundant number, since it is smaller than the sum of its proper divisors (48060365472).

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

18128946528 is a wasteful number, since it uses less digits than its factorization.

18128946528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1121 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 18128946528 in words is "eighteen billion, one hundred twenty-eight million, nine hundred forty-six thousand, five hundred twenty-eight".