413128128 has 112 divisors (see below), whose sum is σ = 1258214400. Its totient is φ = 117187584.

The previous prime is 413128123. The next prime is 413128129. The reversal of 413128128 is 821821314.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 413128095 and 413128104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413128123) 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, 199225 + ... + 201287.

Almost surely, 2^413128128 is an apocalyptic number.

413128128 is a gapful number since it is divisible by the number (48) 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 413128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629107200).

413128128 is an abundant number, since it is smaller than the sum of its proper divisors (845086272).

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

413128128 is a wasteful number, since it uses less digits than its factorization.

413128128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2224 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 413128128 is about 20325.5535717973. The cubic root of 413128128 is about 744.7804274622.

The spelling of 413128128 in words is "four hundred thirteen million, one hundred twenty-eight thousand, one hundred twenty-eight".