128923200 has 252 divisors, whose sum is σ = 524093440. Its totient is φ = 29445120.

The previous prime is 128923187. The next prime is 128923217. The reversal of 128923200 is 2329821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100161 + ... + 101439.

Almost surely, 2^128923200 is an apocalyptic number.

128923200 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 128923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262046720).

128923200 is an abundant number, since it is smaller than the sum of its proper divisors (395170240).

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

128923200 is a wasteful number, since it uses less digits than its factorization.

128923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 128923200 is about 11354.4352567620. The cubic root of 128923200 is about 505.1771427042.

The spelling of 128923200 in words is "one hundred twenty-eight million, nine hundred twenty-three thousand, two hundred".