29314152 has 96 divisors (see below), whose sum is σ = 92664000. Its totient is φ = 8368416.

The previous prime is 29314147. The next prime is 29314163. The reversal of 29314152 is 25141392.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24103 + ... + 25289.

It is an arithmetic number, because the mean of its divisors is an integer number (965250).

Almost surely, 2^29314152 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 29314152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46332000).

29314152 is an abundant number, since it is smaller than the sum of its proper divisors (63349848).

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

29314152 is a wasteful number, since it uses less digits than its factorization.

29314152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1199 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 29314152 is about 5414.2545193221. The cubic root of 29314152 is about 308.3370964884.

The spelling of 29314152 in words is "twenty-nine million, three hundred fourteen thousand, one hundred fifty-two".