29027328 has 88 divisors (see below), whose sum is σ = 84500160. Its totient is φ = 8785920.

The previous prime is 29027293. The next prime is 29027363. The reversal of 29027328 is 82372092.

It is an interprime number because it is at equal distance from previous prime (29027293) and next prime (29027363).

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33363 + ... + 34221.

Almost surely, 2^29027328 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 29027328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42250080).

29027328 is an abundant number, since it is smaller than the sum of its proper divisors (55472832).

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

29027328 is a wasteful number, since it uses less digits than its factorization.

29027328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 29027328 is about 5387.7015507543. The cubic root of 29027328 is about 307.3281583328.

The spelling of 29027328 in words is "twenty-nine million, twenty-seven thousand, three hundred twenty-eight".