128352400 has 120 divisors (see below), whose sum is σ = 347620608. Its totient is φ = 45120000.

The previous prime is 128352373. The next prime is 128352407. The reversal of 128352400 is 4253821.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (128352407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135930 + ... + 136870.

Almost surely, 2^128352400 is an apocalyptic number.

128352400 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 128352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173810304).

128352400 is an abundant number, since it is smaller than the sum of its proper divisors (219268208).

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

128352400 is a wasteful number, since it uses less digits than its factorization.

128352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 128352400 is about 11329.2718212602. The cubic root of 128352400 is about 504.4304921882.

The spelling of 128352400 in words is "one hundred twenty-eight million, three hundred fifty-two thousand, four hundred".