128329760 has 96 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 46844928.

The previous prime is 128329757. The next prime is 128329763. The reversal of 128329760 is 67923821.

It is an interprime number because it is at equal distance from previous prime (128329757) and next prime (128329763).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (128329763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213941 + ... + 214539.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^128329760 is an apocalyptic number.

128329760 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 128329760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

128329760 is an abundant number, since it is smaller than the sum of its proper divisors (201891040).

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

128329760 is a wasteful number, since it uses less digits than its factorization.

128329760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 128329760 is about 11328.2725955902. The cubic root of 128329760 is about 504.4008317173.

The spelling of 128329760 in words is "one hundred twenty-eight million, three hundred twenty-nine thousand, seven hundred sixty".