18764928 has 192 divisors, whose sum is σ = 66830400. Its totient is φ = 4921344.

The previous prime is 18764903. The next prime is 18764929. The reversal of 18764928 is 82946781.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18764929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104743 + ... + 104921.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 2^18764928 is an apocalyptic number.

18764928 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 18764928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415200).

18764928 is an abundant number, since it is smaller than the sum of its proper divisors (48065472).

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

18764928 is a wasteful number, since it uses less digits than its factorization.

18764928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 18764928 is about 4331.8504129298. The cubic root of 18764928 is about 265.7351274470.

The spelling of 18764928 in words is "eighteen million, seven hundred sixty-four thousand, nine hundred twenty-eight".