29088096 has 48 divisors (see below), whose sum is σ = 77810544. Its totient is φ = 9511424.

The previous prime is 29088089. The next prime is 29088133. The reversal of 29088096 is 69088092.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×29088096² = 1692234657810432, which contains 22 as substring.

It is a congruent number.

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, 2230 + ... + 7946.

It is an arithmetic number, because the mean of its divisors is an integer number (1621053).

Almost surely, 2^29088096 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 29088096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38905272).

29088096 is an abundant number, since it is smaller than the sum of its proper divisors (48722448).

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

29088096 is a wasteful number, since it uses less digits than its factorization.

29088096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5783 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 29088096 is about 5393.3381128945. The cubic root of 29088096 is about 307.5424701734.

The spelling of 29088096 in words is "twenty-nine million, eighty-eight thousand, ninety-six".