29011968 has 78 divisors (see below), whose sum is σ = 83908604. Its totient is φ = 9658368.

The previous prime is 29011963. The next prime is 29011973. The reversal of 29011968 is 86911092.

It is an interprime number because it is at equal distance from previous prime (29011963) and next prime (29011973).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29011963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36471 + ... + 37257.

Almost surely, 2^29011968 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 29011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41954302).

29011968 is an abundant number, since it is smaller than the sum of its proper divisors (54896636).

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

29011968 is an equidigital number, since it uses as much as digits as its factorization.

29011968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 29011968 is about 5386.2758934165. The cubic root of 29011968 is about 307.2739405350.

The spelling of 29011968 in words is "twenty-nine million, eleven thousand, nine hundred sixty-eight".