29089152 has 128 divisors (see below), whose sum is σ = 90576000. Its totient is φ = 9165312.

The previous prime is 29089139. The next prime is 29089163. The reversal of 29089152 is 25198092.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 65443 + ... + 65885.

It is an arithmetic number, because the mean of its divisors is an integer number (707625).

Almost surely, 2^29089152 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 29089152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45288000).

29089152 is an abundant number, since it is smaller than the sum of its proper divisors (61486848).

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

29089152 is a wasteful number, since it uses less digits than its factorization.

29089152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 29089152 is about 5393.4360105595. The cubic root of 29089152 is about 307.5461917521.

It can be divided in two parts, 29089 and 152, that added together give a square (29241 = 171²).

The spelling of 29089152 in words is "twenty-nine million, eighty-nine thousand, one hundred fifty-two".