128629200 has 120 divisors (see below), whose sum is σ = 470936128. Its totient is φ = 29399040.

The previous prime is 128629159. The next prime is 128629201. The reversal of 128629200 is 2926821.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128629201) 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, 744 + ... + 16056.

Almost surely, 2^128629200 is an apocalyptic number.

128629200 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 128629200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235468064).

128629200 is an abundant number, since it is smaller than the sum of its proper divisors (342306928).

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

128629200 is a wasteful number, since it uses less digits than its factorization.

128629200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15341 (or 15330 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 128629200 is about 11341.4813847222. The cubic root of 128629200 is about 504.7928438319.

The spelling of 128629200 in words is "one hundred twenty-eight million, six hundred twenty-nine thousand, two hundred".