29472768 has 192 divisors, whose sum is σ = 96314400. Its totient is φ = 8847360.

The previous prime is 29472761. The next prime is 29472803. The reversal of 29472768 is 86727492.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29472761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718828 + ... + 718868.

Almost surely, 2^29472768 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 29472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48157200).

29472768 is an abundant number, since it is smaller than the sum of its proper divisors (66841632).

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

29472768 is a wasteful number, since it uses less digits than its factorization.

29472768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 29472768 is about 5428.8827579899. The cubic root of 29472768 is about 308.8922237006.

The spelling of 29472768 in words is "twenty-nine million, four hundred seventy-two thousand, seven hundred sixty-eight".