128918016 has 120 divisors (see below), whose sum is σ = 377106444. Its totient is φ = 42393600.

The previous prime is 128918011. The next prime is 128918029. The reversal of 128918016 is 610819821.

It can be written as a sum of positive squares in 2 ways, for example, as 127238400 + 1679616 = 11280^2 + 1296^2 .

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

It is not an unprimeable number, because it can be changed into a prime (128918011) 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 11 ways as a sum of consecutive naturals, for example, 465270 + ... + 465546.

Almost surely, 2^128918016 is an apocalyptic number.

128918016 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 128918016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188553222).

128918016 is an abundant number, since it is smaller than the sum of its proper divisors (248188428).

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

128918016 is a wasteful number, since it uses less digits than its factorization.

128918016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 128918016 is about 11354.2069736288. The cubic root of 128918016 is about 505.1703715583.

The spelling of 128918016 in words is "one hundred twenty-eight million, nine hundred eighteen thousand, sixteen".