29152896 has 96 divisors (see below), whose sum is σ = 81028800. Its totient is φ = 9285120.

The previous prime is 29152883. The next prime is 29152919. The reversal of 29152896 is 69825192.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368985 + ... + 369063.

It is an arithmetic number, because the mean of its divisors is an integer number (844050).

Almost surely, 2^29152896 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 29152896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40514400).

29152896 is an abundant number, since it is smaller than the sum of its proper divisors (51875904).

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

29152896 is an equidigital number, since it uses as much as digits as its factorization.

29152896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 115 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 29152896 is about 5399.3421821552. The cubic root of 29152896 is about 307.7706731678.

The spelling of 29152896 in words is "twenty-nine million, one hundred fifty-two thousand, eight hundred ninety-six".