128330496 has 216 divisors, whose sum is σ = 432592160. Its totient is φ = 35831808.

The previous prime is 128330491. The next prime is 128330507. The reversal of 128330496 is 694033821.

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

It is a self number, because there is not a number n which added to its sum of digits gives 128330496.

It is not an unprimeable number, because it can be changed into a prime (128330491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177290 + ... + 1177398.

Almost surely, 2^128330496 is an apocalyptic number.

128330496 is a gapful number since it is divisible by the number (16) 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 128330496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216296080).

128330496 is an abundant number, since it is smaller than the sum of its proper divisors (304261664).

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

128330496 is a wasteful number, since it uses less digits than its factorization.

128330496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 128330496 is about 11328.3050806376. The cubic root of 128330496 is about 504.4017959995.

The spelling of 128330496 in words is "one hundred twenty-eight million, three hundred thirty thousand, four hundred ninety-six".