2018029728 has 384 divisors, whose sum is σ = 6660299520. Its totient is φ = 526417920.

The previous prime is 2018029703. The next prime is 2018029733. The reversal of 2018029728 is 8279208102.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14730076 + ... + 14730212.

It is an arithmetic number, because the mean of its divisors is an integer number (17344530).

Almost surely, 2^2018029728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2018029728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330149760).

2018029728 is an abundant number, since it is smaller than the sum of its proper divisors (4642269792).

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

2018029728 is a wasteful number, since it uses less digits than its factorization.

2018029728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 2018029728 is about 44922.4857727174. The cubic root of 2018029728 is about 1263.6957353957.

The spelling of 2018029728 in words is "two billion, eighteen million, twenty-nine thousand, seven hundred twenty-eight".