29505084 has 48 divisors (see below), whose sum is σ = 79123968. Its totient is φ = 8382528.

The previous prime is 29505061. The next prime is 29505097. The reversal of 29505084 is 48050592.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15657 + ... + 17439.

It is an arithmetic number, because the mean of its divisors is an integer number (1648416).

Almost surely, 2^29505084 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 29505084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39561984).

29505084 is an abundant number, since it is smaller than the sum of its proper divisors (49618884).

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

29505084 is a wasteful number, since it uses less digits than its factorization.

29505084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 29505084 is about 5431.8582455731. The cubic root of 29505084 is about 309.0050794611.

The spelling of 29505084 in words is "twenty-nine million, five hundred five thousand, eighty-four".