128638953 has 24 divisors (see below), whose sum is σ = 191707776. Its totient is φ = 83076000.

The previous prime is 128638943. The next prime is 128638963. The reversal of 128638953 is 359836821.

It is a happy number.

128638953 is a `hidden beast` number, since 1 + 2 + 8 + 638 + 9 + 5 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (128638943) and next prime (128638963).

It is not a de Polignac number, because 128638953 - 2⁹ = 128638441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 128638899 and 128638908.

It is not an unprimeable number, because it can be changed into a prime (128638943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41218 + ... + 44228.

It is an arithmetic number, because the mean of its divisors is an integer number (7987824).

Almost surely, 2^128638953 is an apocalyptic number.

It is an amenable number.

128638953 is a deficient number, since it is larger than the sum of its proper divisors (63068823).

128638953 is a wasteful number, since it uses less digits than its factorization.

128638953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3162 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 128638953 is about 11341.9113468586. The cubic root of 128638953 is about 504.8056017442.

The spelling of 128638953 in words is "one hundred twenty-eight million, six hundred thirty-eight thousand, nine hundred fifty-three".