29485984 has 48 divisors (see below), whose sum is σ = 63788256. Its totient is φ = 13305600.

The previous prime is 29485969. The next prime is 29485987. The reversal of 29485984 is 48958492.

It is not an unprimeable number, because it can be changed into a prime (29485987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74074 + ... + 74470.

It is an arithmetic number, because the mean of its divisors is an integer number (1328922).

Almost surely, 2^29485984 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 29485984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31894128).

29485984 is an abundant number, since it is smaller than the sum of its proper divisors (34302272).

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

29485984 is a wasteful number, since it uses less digits than its factorization.

29485984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its digits is 829440, while the sum is 49.

The square root of 29485984 is about 5430.0998149205. The cubic root of 29485984 is about 308.9383873274.

The spelling of 29485984 in words is "twenty-nine million, four hundred eighty-five thousand, nine hundred eighty-four".