128329100 has 36 divisors (see below), whose sum is σ = 281622600. Its totient is φ = 50751360.

The previous prime is 128329093. The next prime is 128329111. The reversal of 128329100 is 1923821.

It is a self number, because there is not a number n which added to its sum of digits gives 128329100.

It is an unprimeable number.

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, 1691 + ... + 16109.

It is an arithmetic number, because the mean of its divisors is an integer number (7822850).

Almost surely, 2^128329100 is an apocalyptic number.

128329100 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 128329100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140811300).

128329100 is an abundant number, since it is smaller than the sum of its proper divisors (153293500).

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

128329100 is a wasteful number, since it uses less digits than its factorization.

128329100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14522 (or 14515 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 128329100 is about 11328.2434648978. The cubic root of 128329100 is about 504.3999670046.

The spelling of 128329100 in words is "one hundred twenty-eight million, three hundred twenty-nine thousand, one hundred".