29329328 has 40 divisors (see below), whose sum is σ = 65472000. Its totient is φ = 12467520.

The previous prime is 29329277. The next prime is 29329343. The reversal of 29329328 is 82392392.

It is a junction number, because it is equal to n+sod(n) for n = 29329291 and 29329300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13673 + ... + 15671.

It is an arithmetic number, because the mean of its divisors is an integer number (1636800).

Almost surely, 2^29329328 is an apocalyptic number.

29329328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29329328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32736000).

29329328 is an abundant number, since it is smaller than the sum of its proper divisors (36142672).

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

29329328 is a wasteful number, since it uses less digits than its factorization.

29329328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2139 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 29329328 is about 5415.6558236284. The cubic root of 29329328 is about 308.3902962366.

The spelling of 29329328 in words is "twenty-nine million, three hundred twenty-nine thousand, three hundred twenty-eight".