128210400 has 108 divisors (see below), whose sum is σ = 452127312. Its totient is φ = 34187520.

The previous prime is 128210393. The next prime is 128210419. The reversal of 128210400 is 4012821.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1704 + ... + 16103.

It is an arithmetic number, because the mean of its divisors is an integer number (4186364).

Almost surely, 2^128210400 is an apocalyptic number.

128210400 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 128210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226063656).

128210400 is an abundant number, since it is smaller than the sum of its proper divisors (323916912).

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

128210400 is a wasteful number, since it uses less digits than its factorization.

128210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17833 (or 17817 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 128210400 is about 11323.0031352111. The cubic root of 128210400 is about 504.2444014950.

The spelling of 128210400 in words is "one hundred twenty-eight million, two hundred ten thousand, four hundred".