18964128 has 96 divisors (see below), whose sum is σ = 54008640. Its totient is φ = 5806080.

The previous prime is 18964123. The next prime is 18964151. The reversal of 18964128 is 82146981.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (18964123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67348 + ... + 67628.

It is an arithmetic number, because the mean of its divisors is an integer number (562590).

Almost surely, 2^18964128 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 18964128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27004320).

18964128 is an abundant number, since it is smaller than the sum of its proper divisors (35044512).

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

18964128 is a wasteful number, since it uses less digits than its factorization.

18964128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 18964128 is about 4354.7821989165. The cubic root of 18964128 is about 266.6721276659.

The spelling of 18964128 in words is "eighteen million, nine hundred sixty-four thousand, one hundred twenty-eight".