128438100 has 432 divisors, whose sum is σ = 514550400. Its totient is φ = 26127360.

The previous prime is 128438099. The next prime is 128438113. The reversal of 128438100 is 1834821.

128438100 is a `hidden beast` number, since 1 + 284 + 381 + 0 + 0 = 666.

It is a super-2 number, since 2×128438100² = 32992691063220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3471282 + ... + 3471318.

Almost surely, 2^128438100 is an apocalyptic number.

128438100 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 128438100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257275200).

128438100 is an abundant number, since it is smaller than the sum of its proper divisors (386112300).

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

128438100 is a wasteful number, since it uses less digits than its factorization.

128438100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

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

The square root of 128438100 is about 11333.0534279161. The cubic root of 128438100 is about 504.5427354481.

The spelling of 128438100 in words is "one hundred twenty-eight million, four hundred thirty-eight thousand, one hundred".