128433600 has 210 divisors, whose sum is σ = 472565984. Its totient is φ = 34214400.

The previous prime is 128433593. The next prime is 128433601. The reversal of 128433600 is 6334821.

It is a happy number.

128433600 is a `hidden beast` number, since 1 + 28 + 4 + 33 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128433601) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129105 + ... + 130095.

Almost surely, 2^128433600 is an apocalyptic number.

128433600 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 128433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236282992).

128433600 is an abundant number, since it is smaller than the sum of its proper divisors (344132384).

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

128433600 is an equidigital number, since it uses as much as digits as its factorization.

128433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 128433600 is about 11332.8548918620. The cubic root of 128433600 is about 504.5368429369.

The spelling of 128433600 in words is "one hundred twenty-eight million, four hundred thirty-three thousand, six hundred".