18129072528 has 360 divisors, whose sum is σ = 64282046400. Its totient is φ = 4736890368.

The previous prime is 18129072517. The next prime is 18129072529. The reversal of 18129072528 is 82527092181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18129072529) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3885525 + ... + 3890187.

It is an arithmetic number, because the mean of its divisors is an integer number (178561240).

Almost surely, 2^18129072528 is an apocalyptic number.

18129072528 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 18129072528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32141023200).

18129072528 is an abundant number, since it is smaller than the sum of its proper divisors (46152973872).

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

18129072528 is a wasteful number, since it uses less digits than its factorization.

18129072528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4739 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 18129072528 in words is "eighteen billion, one hundred twenty-nine million, seventy-two thousand, five hundred twenty-eight".