13408128 has 96 divisors (see below), whose sum is σ = 39302640. Its totient is φ = 4386816.

The previous prime is 13408111. The next prime is 13408133. The reversal of 13408128 is 82180431.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118600 + ... + 118712.

Almost surely, 2^13408128 is an apocalyptic number.

13408128 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 13408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19651320).

13408128 is an abundant number, since it is smaller than the sum of its proper divisors (25894512).

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

13408128 is a wasteful number, since it uses less digits than its factorization.

13408128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13408128 is about 3661.7110754400. The cubic root of 13408128 is about 237.5687882002.

Adding to 13408128 its reverse (82180431), we get a palindrome (95588559).

The spelling of 13408128 in words is "thirteen million, four hundred eight thousand, one hundred twenty-eight".