129628447200 has 1008 divisors, whose sum is σ = 548992424736. Its totient is φ = 29262643200.

The previous prime is 129628447159. The next prime is 129628447213. The reversal of 129628447200 is 2744826921.

129628447200 is a `hidden beast` number, since 12 + 9 + 628 + 4 + 4 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 461311060 + ... + 461311340.

It is an arithmetic number, because the mean of its divisors is an integer number (544635342).

Almost surely, 2^129628447200 is an apocalyptic number.

129628447200 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 129628447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274496212368).

129628447200 is an abundant number, since it is smaller than the sum of its proper divisors (419363977536).

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

129628447200 is a wasteful number, since it uses less digits than its factorization.

129628447200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 129628447200 in words is "one hundred twenty-nine billion, six hundred twenty-eight million, four hundred forty-seven thousand, two hundred".