29267968 has 48 divisors (see below), whose sum is σ = 60540480. Its totient is φ = 14131200.

The previous prime is 29267941. The next prime is 29267969. The reversal of 29267968 is 86976292.

It is a super-2 number, since 2×29267968² = 1713227901698048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29267969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63258 + ... + 63718.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 2^29267968 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 29267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30270240).

29267968 is an abundant number, since it is smaller than the sum of its proper divisors (31272512).

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

29267968 is an equidigital number, since it uses as much as digits as its factorization.

29267968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 494 counting only the distinct ones).

The product of its digits is 653184, while the sum is 49.

The square root of 29267968 is about 5409.9878003559. The cubic root of 29267968 is about 308.1750845764.

The spelling of 29267968 in words is "twenty-nine million, two hundred sixty-seven thousand, nine hundred sixty-eight".