29478816 has 144 divisors (see below), whose sum is σ = 92461824. Its totient is φ = 9206784.

The previous prime is 29478803. The next prime is 29478817. The reversal of 29478816 is 61887492.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (29478817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132081 + ... + 132303.

It is an arithmetic number, because the mean of its divisors is an integer number (642096).

Almost surely, 2^29478816 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 29478816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230912).

29478816 is an abundant number, since it is smaller than the sum of its proper divisors (62983008).

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

29478816 is a wasteful number, since it uses less digits than its factorization.

29478816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 29478816 is about 5429.4397501031. The cubic root of 29478816 is about 308.9133511404.

The spelling of 29478816 in words is "twenty-nine million, four hundred seventy-eight thousand, eight hundred sixteen".