128034816 has 192 divisors, whose sum is σ = 421948800. Its totient is φ = 33619968.

The previous prime is 128034799. The next prime is 128034821. The reversal of 128034816 is 618430821.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558990 + ... + 559218.

It is an arithmetic number, because the mean of its divisors is an integer number (2197650).

Almost surely, 2^128034816 is an apocalyptic number.

128034816 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 128034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210974400).

128034816 is an abundant number, since it is smaller than the sum of its proper divisors (293913984).

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

128034816 is a wasteful number, since it uses less digits than its factorization.

128034816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 128034816 is about 11315.2470587257. The cubic root of 128034816 is about 504.0141089525.

The spelling of 128034816 in words is "one hundred twenty-eight million, thirty-four thousand, eight hundred sixteen".