128628429300 has 432 divisors, whose sum is σ = 480125714432. Its totient is φ = 29260310400.

The previous prime is 128628429287. The next prime is 128628429323. The reversal of 128628429300 is 3924826821.

128628429300 is a `hidden beast` number, since 1 + 2 + 86 + 284 + 293 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 37930605 + ... + 37933995.

Almost surely, 2^128628429300 is an apocalyptic number.

128628429300 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 128628429300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240062857216).

128628429300 is an abundant number, since it is smaller than the sum of its proper divisors (351497285132).

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

128628429300 is a wasteful number, since it uses less digits than its factorization.

128628429300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 128628429300 in words is "one hundred twenty-eight billion, six hundred twenty-eight million, four hundred twenty-nine thousand, three hundred".