29038968 has 72 divisors (see below), whose sum is σ = 91498680. Its totient is φ = 8295840.

The previous prime is 29038967. The next prime is 29038981. The reversal of 29038968 is 86983092.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29038963) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 588 + ... + 7643.

It is an arithmetic number, because the mean of its divisors is an integer number (1270815).

Almost surely, 2^29038968 is an apocalyptic number.

29038968 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 29038968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45749340).

29038968 is an abundant number, since it is smaller than the sum of its proper divisors (62459712).

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

29038968 is a wasteful number, since it uses less digits than its factorization.

29038968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8257 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 29038968 is about 5388.7816804914. The cubic root of 29038968 is about 307.3692325198.

The spelling of 29038968 in words is "twenty-nine million, thirty-eight thousand, nine hundred sixty-eight".