29331968 has 40 divisors (see below), whose sum is σ = 59661360. Its totient is φ = 14402560.

The previous prime is 29331961. The next prime is 29331979. The reversal of 29331968 is 86913392.

It is not an unprimeable number, because it can be changed into a prime (29331961) 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 3 ways as a sum of consecutive naturals, for example, 29723 + ... + 30693.

It is an arithmetic number, because the mean of its divisors is an integer number (1491534).

Almost surely, 2^29331968 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 29331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29830680).

29331968 is an abundant number, since it is smaller than the sum of its proper divisors (30329392).

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

29331968 is an frugal number, since it uses more digits than its factorization.

29331968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1032 counting only the distinct ones).

The product of its digits is 69984, while the sum is 41.

The square root of 29331968 is about 5415.8995559371. The cubic root of 29331968 is about 308.3995489313.

The spelling of 29331968 in words is "twenty-nine million, three hundred thirty-one thousand, nine hundred sixty-eight".