128903200 has 72 divisors (see below), whose sum is σ = 320135760. Its totient is φ = 50668800.

The previous prime is 128903191. The next prime is 128903209. The reversal of 128903200 is 2309821.

It is an interprime number because it is at equal distance from previous prime (128903191) and next prime (128903209).

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 (128903209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 45835 + ... + 48565.

It is an arithmetic number, because the mean of its divisors is an integer number (4446330).

Almost surely, 2^128903200 is an apocalyptic number.

128903200 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 128903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160067880).

128903200 is an abundant number, since it is smaller than the sum of its proper divisors (191232560).

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

128903200 is a wasteful number, since it uses less digits than its factorization.

128903200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 128903200 is about 11353.5545094917. The cubic root of 128903200 is about 505.1510184552.

The spelling of 128903200 in words is "one hundred twenty-eight million, nine hundred three thousand, two hundred".