128038400 has 120 divisors (see below), whose sum is σ = 362796720. Its totient is φ = 43868160.

The previous prime is 128038357. The next prime is 128038403. The reversal of 128038400 is 4830821.

It is a self number, because there is not a number n which added to its sum of digits gives 128038400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128038403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88886 + ... + 90314.

It is an arithmetic number, because the mean of its divisors is an integer number (3023306).

Almost surely, 2^128038400 is an apocalyptic number.

128038400 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 128038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181398360).

128038400 is an abundant number, since it is smaller than the sum of its proper divisors (234758320).

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

128038400 is an equidigital number, since it uses as much as digits as its factorization.

128038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 128038400 is about 11315.4054279995. The cubic root of 128038400 is about 504.0188117611.

The spelling of 128038400 in words is "one hundred twenty-eight million, thirty-eight thousand, four hundred".