128381400 has 288 divisors, whose sum is σ = 515324160. Its totient is φ = 28005120.

The previous prime is 128381387. The next prime is 128381411. The reversal of 128381400 is 4183821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 289579 + ... + 290021.

It is an arithmetic number, because the mean of its divisors is an integer number (1789320).

Almost surely, 2^128381400 is an apocalyptic number.

128381400 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 128381400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257662080).

128381400 is an abundant number, since it is smaller than the sum of its proper divisors (386942760).

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

128381400 is a wasteful number, since it uses less digits than its factorization.

128381400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

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

The square root of 128381400 is about 11330.5516194049. The cubic root of 128381400 is about 504.4684797461.

The spelling of 128381400 in words is "one hundred twenty-eight million, three hundred eighty-one thousand, four hundred".