29128164 has 72 divisors (see below), whose sum is σ = 75261312. Its totient is φ = 8760960.

The previous prime is 29128153. The next prime is 29128199. The reversal of 29128164 is 46182192.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107349 + ... + 107619.

It is an arithmetic number, because the mean of its divisors is an integer number (1045296).

Almost surely, 2^29128164 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 29128164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37630656).

29128164 is an abundant number, since it is smaller than the sum of its proper divisors (46133148).

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

29128164 is a wasteful number, since it uses less digits than its factorization.

29128164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 29128164 is about 5397.0514172092. The cubic root of 29128164 is about 307.6836156327.

It can be divided in two parts, 29128 and 164, that added together give a palindrome (29292).

The spelling of 29128164 in words is "twenty-nine million, one hundred twenty-eight thousand, one hundred sixty-four".