29121888 has 48 divisors (see below), whose sum is σ = 77713776. Its totient is φ = 9546240.

The previous prime is 29121881. The next prime is 29121893. The reversal of 29121888 is 88812192.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29121881) 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 7 ways as a sum of consecutive naturals, for example, 3370 + ... + 8342.

It is an arithmetic number, because the mean of its divisors is an integer number (1619037).

Almost surely, 2^29121888 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 29121888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38856888).

29121888 is an abundant number, since it is smaller than the sum of its proper divisors (48591888).

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

29121888 is a wasteful number, since it uses less digits than its factorization.

29121888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5039 counting only the distinct ones).

The product of its digits is 18432, while the sum is 39.

The square root of 29121888 is about 5396.4699572962. The cubic root of 29121888 is about 307.6615160469.

The spelling of 29121888 in words is "twenty-nine million, one hundred twenty-one thousand, eight hundred eighty-eight".