29004768 has 144 divisors (see below), whose sum is σ = 90994176. Its totient is φ = 8709120.

The previous prime is 29004757. The next prime is 29004779. The reversal of 29004768 is 86740092.

It is an interprime number because it is at equal distance from previous prime (29004757) and next prime (29004779).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228321 + ... + 228447.

It is an arithmetic number, because the mean of its divisors is an integer number (631904).

Almost surely, 2^29004768 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 29004768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45497088).

29004768 is an abundant number, since it is smaller than the sum of its proper divisors (61989408).

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

29004768 is a wasteful number, since it uses less digits than its factorization.

29004768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 29004768 is about 5385.6074866258. The cubic root of 29004768 is about 307.2485193546.

The spelling of 29004768 in words is "twenty-nine million, four thousand, seven hundred sixty-eight".