29904768 has 128 divisors (see below), whose sum is σ = 93636000. Its totient is φ = 9363456.

The previous prime is 29904733. The next prime is 29904779. The reversal of 29904768 is 86740992.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 58498 + ... + 59006.

Almost surely, 2^29904768 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 29904768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46818000).

29904768 is an abundant number, since it is smaller than the sum of its proper divisors (63731232).

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

29904768 is a wasteful number, since it uses less digits than its factorization.

29904768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 29904768 is about 5468.5252125230. The cubic root of 29904768 is about 310.3941154516.

The spelling of 29904768 in words is "twenty-nine million, nine hundred four thousand, seven hundred sixty-eight".