128329667928 has 480 divisors, whose sum is σ = 459052181280. Its totient is φ = 32777395200.

The previous prime is 128329667857. The next prime is 128329667933. The reversal of 128329667928 is 829766923821.

128329667928 is a `hidden beast` number, since 1 + 283 + 296 + 67 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33478300 + ... + 33482132.

It is an arithmetic number, because the mean of its divisors is an integer number (956358711).

Almost surely, 2^128329667928 is an apocalyptic number.

128329667928 is a gapful number since it is divisible by the number (18) 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 128329667928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229526090640).

128329667928 is an abundant number, since it is smaller than the sum of its proper divisors (330722513352).

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

128329667928 is a wasteful number, since it uses less digits than its factorization.

128329667928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941 (or 3917 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 128329667928 in words is "one hundred twenty-eight billion, three hundred twenty-nine million, six hundred sixty-seven thousand, nine hundred twenty-eight".