29885328 has 160 divisors (see below), whose sum is σ = 98803200. Its totient is φ = 8553600.

The previous prime is 29885321. The next prime is 29885353. The reversal of 29885328 is 82358892.

It is not an unprimeable number, because it can be changed into a prime (29885321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90123 + ... + 90453.

It is an arithmetic number, because the mean of its divisors is an integer number (617520).

Almost surely, 2^29885328 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 29885328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49401600).

29885328 is an abundant number, since it is smaller than the sum of its proper divisors (68917872).

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

29885328 is a wasteful number, since it uses less digits than its factorization.

29885328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 29885328 is about 5466.7474790775. The cubic root of 29885328 is about 310.3268422374.

The spelling of 29885328 in words is "twenty-nine million, eight hundred eighty-five thousand, three hundred twenty-eight".