29952128 has 32 divisors (see below), whose sum is σ = 61735500. Its totient is φ = 14457856.

The previous prime is 29952121. The next prime is 29952161. The reversal of 29952128 is 82125992.

It can be written as a sum of positive squares in 2 ways, for example, as 26296384 + 3655744 = 5128^2 + 1912^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 29952091 and 29952100.

It is not an unprimeable number, because it can be changed into a prime (29952121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 323 + ... + 7746.

Almost surely, 2^29952128 is an apocalyptic number.

It is an amenable number.

29952128 is an abundant number, since it is smaller than the sum of its proper divisors (31783372).

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

29952128 is an equidigital number, since it uses as much as digits as its factorization.

29952128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112 (or 8100 counting only the distinct ones).

The product of its digits is 25920, while the sum is 38.

The square root of 29952128 is about 5472.8537345703. The cubic root of 29952128 is about 310.5578854551.

The spelling of 29952128 in words is "twenty-nine million, nine hundred fifty-two thousand, one hundred twenty-eight".