29642628 has 24 divisors (see below), whose sum is σ = 73235232. Its totient is φ = 9299584.

The previous prime is 29642623. The next prime is 29642629. The reversal of 29642628 is 82624692.

It is not an unprimeable number, because it can be changed into a prime (29642621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72450 + ... + 72857.

It is an arithmetic number, because the mean of its divisors is an integer number (3051468).

Almost surely, 2^29642628 is an apocalyptic number.

It is an amenable number.

29642628 is an abundant number, since it is smaller than the sum of its proper divisors (43592604).

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

29642628 is a wasteful number, since it uses less digits than its factorization.

29642628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145331 (or 145329 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 29642628 is about 5444.5043851576. The cubic root of 29642628 is about 309.4844987769.

It can be divided in two parts, 296426 and 28, that multiplied together give a palindrome (8299928).

The spelling of 29642628 in words is "twenty-nine million, six hundred forty-two thousand, six hundred twenty-eight".