128358400 has 144 divisors (see below), whose sum is σ = 335134800. Its totient is φ = 48660480.

The previous prime is 128358389. The next prime is 128358403. The reversal of 128358400 is 4853821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128358403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1177546 + ... + 1177654.

It is an arithmetic number, because the mean of its divisors is an integer number (2327325).

Almost surely, 2^128358400 is an apocalyptic number.

128358400 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 128358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167567400).

128358400 is an abundant number, since it is smaller than the sum of its proper divisors (206776400).

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

128358400 is a wasteful number, since it uses less digits than its factorization.

128358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 128358400 is about 11329.5366189443. The cubic root of 128358400 is about 504.4383521524.

The spelling of 128358400 in words is "one hundred twenty-eight million, three hundred fifty-eight thousand, four hundred".