128832816 has 160 divisors (see below), whose sum is σ = 401387008. Its totient is φ = 34836480.

The previous prime is 128832811. The next prime is 128832827. The reversal of 128832816 is 618238821.

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

It is not an unprimeable number, because it can be changed into a prime (128832811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534456 + ... + 534696.

Almost surely, 2^128832816 is an apocalyptic number.

128832816 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 128832816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200693504).

128832816 is an abundant number, since it is smaller than the sum of its proper divisors (272554192).

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

128832816 is a wasteful number, since it uses less digits than its factorization.

128832816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 128832816 is about 11350.4544402416. The cubic root of 128832816 is about 505.0590605042.

The spelling of 128832816 in words is "one hundred twenty-eight million, eight hundred thirty-two thousand, eight hundred sixteen".