18729828 has 72 divisors (see below), whose sum is σ = 52672256. Its totient is φ = 5572800.

The previous prime is 18729817. The next prime is 18729847. The reversal of 18729828 is 82892781.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 13863 + ... + 15153.

Almost surely, 2^18729828 is an apocalyptic number.

18729828 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 18729828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26336128).

18729828 is an abundant number, since it is smaller than the sum of its proper divisors (33942428).

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

18729828 is a wasteful number, since it uses less digits than its factorization.

18729828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1340 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 18729828 is about 4327.7971301807. The cubic root of 18729828 is about 265.5693372269.

The spelling of 18729828 in words is "eighteen million, seven hundred twenty-nine thousand, eight hundred twenty-eight".