29401728 has 64 divisors (see below), whose sum is σ = 81518400. Its totient is φ = 9371648.

The previous prime is 29401711. The next prime is 29401747. The reversal of 29401728 is 82710492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7168 + ... + 10496.

It is an arithmetic number, because the mean of its divisors is an integer number (1273725).

Almost surely, 2^29401728 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 29401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40759200).

29401728 is an abundant number, since it is smaller than the sum of its proper divisors (52116672).

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

29401728 is a wasteful number, since it uses less digits than its factorization.

29401728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 29401728 is about 5422.3360279496. The cubic root of 29401728 is about 308.6438434787.

The spelling of 29401728 in words is "twenty-nine million, four hundred one thousand, seven hundred twenty-eight".