128338632 has 48 divisors (see below), whose sum is σ = 353293980. Its totient is φ = 42076800.

The previous prime is 128338621. The next prime is 128338633. The reversal of 128338632 is 236833821.

128338632 is a `hidden beast` number, since 12 + 8 + 3 + 3 + 8 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85488516 + 42850116 = 9246^2 + 6546^2 .

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 (128338633) 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 11 ways as a sum of consecutive naturals, for example, 10219 + ... + 19002.

Almost surely, 2^128338632 is an apocalyptic number.

128338632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128338632 is an abundant number, since it is smaller than the sum of its proper divisors (224955348).

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

128338632 is a wasteful number, since it uses less digits than its factorization.

128338632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29294 (or 29287 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 128338632 is about 11328.6641754445. The cubic root of 128338632 is about 504.4124552645.

The spelling of 128338632 in words is "one hundred twenty-eight million, three hundred thirty-eight thousand, six hundred thirty-two".