29107968 has 72 divisors (see below), whose sum is σ = 78293376. Its totient is φ = 9600000.

The previous prime is 29107963. The next prime is 29107973. The reversal of 29107968 is 86970192.

It is an interprime number because it is at equal distance from previous prime (29107963) and next prime (29107973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29107963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115843 + ... + 116093.

It is an arithmetic number, because the mean of its divisors is an integer number (1087408).

Almost surely, 2^29107968 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 29107968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39146688).

29107968 is an abundant number, since it is smaller than the sum of its proper divisors (49185408).

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

29107968 is a wasteful number, since it uses less digits than its factorization.

29107968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 29107968 is about 5395.1800711376. The cubic root of 29107968 is about 307.6124884239.

It can be divided in two parts, 2910 and 7968, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 29107968 in words is "twenty-nine million, one hundred seven thousand, nine hundred sixty-eight".