29974128 has 80 divisors (see below), whose sum is σ = 82985760. Its totient is φ = 9289728.

The previous prime is 29974127. The next prime is 29974187. The reversal of 29974128 is 82147992.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29974128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29974121) 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 15 ways as a sum of consecutive naturals, for example, 88776 + ... + 89112.

It is an arithmetic number, because the mean of its divisors is an integer number (1037322).

Almost surely, 2^29974128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29974128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41492880).

29974128 is an abundant number, since it is smaller than the sum of its proper divisors (53011632).

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

29974128 is a wasteful number, since it uses less digits than its factorization.

29974128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 29974128 is about 5474.8632859643. The cubic root of 29974128 is about 310.6339023287.

The spelling of 29974128 in words is "twenty-nine million, nine hundred seventy-four thousand, one hundred twenty-eight".