18828729920 has 448 divisors, whose sum is σ = 61644312576. Its totient is φ = 5287403520.

The previous prime is 18828729919. The next prime is 18828729929. The reversal of 18828729920 is 2992782881.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (18828729929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13773077 + ... + 13774443.

It is an arithmetic number, because the mean of its divisors is an integer number (137598912).

Almost surely, 2^18828729920 is an apocalyptic number.

18828729920 is a gapful number since it is divisible by the number (10) 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 18828729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30822156288).

18828729920 is an abundant number, since it is smaller than the sum of its proper divisors (42815582656).

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

18828729920 is a wasteful number, since it uses less digits than its factorization.

18828729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 56.

The spelling of 18828729920 in words is "eighteen billion, eight hundred twenty-eight million, seven hundred twenty-nine thousand, nine hundred twenty".