29104128 has 72 divisors (see below), whose sum is σ = 84111300. Its totient is φ = 9695232.

The previous prime is 29104123. The next prime is 29104129. The reversal of 29104128 is 82140192.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29104121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17643 + ... + 19221.

Almost surely, 2^29104128 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 29104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42055650).

29104128 is an abundant number, since it is smaller than the sum of its proper divisors (55007172).

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

29104128 is a wasteful number, since it uses less digits than its factorization.

29104128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 29104128 is about 5394.8241861992. The cubic root of 29104128 is about 307.5989608117.

The spelling of 29104128 in words is "twenty-nine million, one hundred four thousand, one hundred twenty-eight".