128414208 has 160 divisors (see below), whose sum is σ = 378100800. Its totient is φ = 38486016.

The previous prime is 128414203. The next prime is 128414239. The reversal of 128414208 is 802414821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128414203) 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, 1178058 + ... + 1178166.

It is an arithmetic number, because the mean of its divisors is an integer number (2363130).

Almost surely, 2^128414208 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 128414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189050400).

128414208 is an abundant number, since it is smaller than the sum of its proper divisors (249686592).

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

128414208 is a wasteful number, since it uses less digits than its factorization.

128414208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 128414208 is about 11331.9992940346. Note that the first 3 decimals coincide. The cubic root of 128414208 is about 504.5114485673.

The spelling of 128414208 in words is "one hundred twenty-eight million, four hundred fourteen thousand, two hundred eight".