29431152 has 120 divisors (see below), whose sum is σ = 89756160. Its totient is φ = 8968320.

The previous prime is 29431139. The next prime is 29431159. The reversal of 29431152 is 25113492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29431159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84643 + ... + 84989.

It is an arithmetic number, because the mean of its divisors is an integer number (747968).

Almost surely, 2^29431152 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 29431152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44878080).

29431152 is an abundant number, since it is smaller than the sum of its proper divisors (60325008).

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

29431152 is a wasteful number, since it uses less digits than its factorization.

29431152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

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

The square root of 29431152 is about 5425.0485712111. The cubic root of 29431152 is about 308.7467683665.

It can be divided in two parts, 2943 and 1152, that added together give a triangular number (4095 = T₉₀).

The spelling of 29431152 in words is "twenty-nine million, four hundred thirty-one thousand, one hundred fifty-two".