13219128 has 96 divisors (see below), whose sum is σ = 39967200. Its totient is φ = 3919104.

The previous prime is 13219121. The next prime is 13219133. The reversal of 13219128 is 82191231.

13219128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13219121) 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, 26901 + ... + 27387.

It is an arithmetic number, because the mean of its divisors is an integer number (416325).

Almost surely, 2^13219128 is an apocalyptic number.

13219128 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 13219128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19983600).

13219128 is an abundant number, since it is smaller than the sum of its proper divisors (26748072).

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

13219128 is a wasteful number, since it uses less digits than its factorization.

13219128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 534 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 13219128 is about 3635.8118763214. The cubic root of 13219128 is about 236.4472510701.

The spelling of 13219128 in words is "thirteen million, two hundred nineteen thousand, one hundred twenty-eight".