128349504 has 84 divisors (see below), whose sum is σ = 369454176. Its totient is φ = 42601728.

The previous prime is 128349497. The next prime is 128349509. The reversal of 128349504 is 405943821.

It is a super-3 number, since 3×128349504³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128349509) 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, 254917 + ... + 255419.

It is an arithmetic number, because the mean of its divisors is an integer number (4398264).

Almost surely, 2^128349504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128349504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184727088).

128349504 is an abundant number, since it is smaller than the sum of its proper divisors (241104672).

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

128349504 is a wasteful number, since it uses less digits than its factorization.

128349504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 128349504 is about 11329.1440100301. The cubic root of 128349504 is about 504.4266983579.

The spelling of 128349504 in words is "one hundred twenty-eight million, three hundred forty-nine thousand, five hundred four".