29420384 has 72 divisors (see below), whose sum is σ = 69809040. Its totient is φ = 12155136.

The previous prime is 29420383. The next prime is 29420393. The reversal of 29420384 is 48302492.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 29420384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29420383) 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 11 ways as a sum of consecutive naturals, for example, 45149 + ... + 45795.

It is an arithmetic number, because the mean of its divisors is an integer number (969570).

Almost surely, 2^29420384 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 29420384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34904520).

29420384 is an abundant number, since it is smaller than the sum of its proper divisors (40388656).

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

29420384 is a wasteful number, since it uses less digits than its factorization.

29420384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 29420384 is about 5424.0560469081. The cubic root of 29420384 is about 308.7091099613.

The spelling of 29420384 in words is "twenty-nine million, four hundred twenty thousand, three hundred eighty-four".