29148288 has 64 divisors (see below), whose sum is σ = 83395200. Its totient is φ = 8967168.

The previous prime is 29148271. The next prime is 29148293. The reversal of 29148288 is 88284192.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2073 + ... + 7911.

It is an arithmetic number, because the mean of its divisors is an integer number (1303050).

Almost surely, 2^29148288 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 29148288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41697600).

29148288 is an abundant number, since it is smaller than the sum of its proper divisors (54246912).

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

29148288 is a wasteful number, since it uses less digits than its factorization.

29148288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5869 (or 5857 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 29148288 is about 5398.9154466430. The cubic root of 29148288 is about 307.7544565743.

The spelling of 29148288 in words is "twenty-nine million, one hundred forty-eight thousand, two hundred eighty-eight".