18752305728 has 448 divisors, whose sum is σ = 58416261120. Its totient is φ = 5264179200.

The previous prime is 18752305709. The next prime is 18752305739. The reversal of 18752305728 is 82750325781.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136878076 + ... + 136878212.

It is an arithmetic number, because the mean of its divisors is an integer number (130393440).

Almost surely, 2^18752305728 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 18752305728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29208130560).

18752305728 is an abundant number, since it is smaller than the sum of its proper divisors (39663955392).

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

18752305728 is a wasteful number, since it uses less digits than its factorization.

18752305728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 18752305728 in words is "eighteen billion, seven hundred fifty-two million, three hundred five thousand, seven hundred twenty-eight".