128438420 has 48 divisors (see below), whose sum is σ = 301105728. Its totient is φ = 45615360.

The previous prime is 128438393. The next prime is 128438449. The reversal of 128438420 is 24834821.

128438420 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

128438420 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2672 + ... + 16248.

It is an arithmetic number, because the mean of its divisors is an integer number (6273036).

Almost surely, 2^128438420 is an apocalyptic number.

128438420 is a gapful number since it is divisible by the number (10) 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 128438420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150552864).

128438420 is an abundant number, since it is smaller than the sum of its proper divisors (172667308).

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

128438420 is a wasteful number, since it uses less digits than its factorization.

128438420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13640 (or 13638 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 128438420 is about 11333.0675459030. The cubic root of 128438420 is about 504.5431544659.

The spelling of 128438420 in words is "one hundred twenty-eight million, four hundred thirty-eight thousand, four hundred twenty".