128384100 has 108 divisors (see below), whose sum is σ = 433407156. Its totient is φ = 31599360.

The previous prime is 128384071. The next prime is 128384107. The reversal of 128384100 is 1483821.

It can be written as a sum of positive squares in 6 ways, for example, as 11614464 + 116769636 = 3408^2 + 10806^2 .

It is not an unprimeable number, because it can be changed into a prime (128384107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6214 + ... + 17186.

Almost surely, 2^128384100 is an apocalyptic number.

128384100 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 128384100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216703578).

128384100 is an abundant number, since it is smaller than the sum of its proper divisors (305023056).

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

128384100 is a wasteful number, since it uses less digits than its factorization.

128384100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11006 (or 10996 counting only the distinct ones).

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

The square root of 128384100 is about 11330.6707656696. The cubic root of 128384100 is about 504.4720162277.

The spelling of 128384100 in words is "one hundred twenty-eight million, three hundred eighty-four thousand, one hundred".