29381968 has 60 divisors (see below), whose sum is σ = 72263232. Its totient is φ = 11444160.

The previous prime is 29381951. The next prime is 29381987. The reversal of 29381968 is 86918392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6921 + ... + 10327.

Almost surely, 2^29381968 is an apocalyptic number.

29381968 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 29381968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36131616).

29381968 is an abundant number, since it is smaller than the sum of its proper divisors (42881264).

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

29381968 is a wasteful number, since it uses less digits than its factorization.

29381968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3427 counting only the distinct ones).

The product of its digits is 186624, while the sum is 46.

The square root of 29381968 is about 5420.5136287994. The cubic root of 29381968 is about 308.5746846283.

The spelling of 29381968 in words is "twenty-nine million, three hundred eighty-one thousand, nine hundred sixty-eight".