128329632 has 36 divisors (see below), whose sum is σ = 364938210. Its totient is φ = 42776448.

The previous prime is 128329613. The next prime is 128329633. The reversal of 128329632 is 236923821.

128329632 is a `hidden beast` number, since 12 + 8 + 3 + 2 + 9 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75272976 + 53056656 = 8676^2 + 7284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 (128329633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222507 + ... + 223082.

Almost surely, 2^128329632 is an apocalyptic number.

128329632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128329632 is an abundant number, since it is smaller than the sum of its proper divisors (236608578).

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

128329632 is a wasteful number, since it uses less digits than its factorization.

128329632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445605 (or 445594 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 128329632 is about 11328.2669460072. The cubic root of 128329632 is about 504.4006640157.

The spelling of 128329632 in words is "one hundred twenty-eight million, three hundred twenty-nine thousand, six hundred thirty-two".