29130880 has 64 divisors (see below), whose sum is σ = 72705600. Its totient is φ = 11140096.

The previous prime is 29130853. The next prime is 29130887. The reversal of 29130880 is 8803192.

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

It is not an unprimeable number, because it can be changed into a prime (29130887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13731 + ... + 15709.

It is an arithmetic number, because the mean of its divisors is an integer number (1136025).

Almost surely, 2^29130880 is an apocalyptic number.

29130880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36352800).

29130880 is an abundant number, since it is smaller than the sum of its proper divisors (43574720).

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

29130880 is a wasteful number, since it uses less digits than its factorization.

29130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 29130880 is about 5397.3030302180. The cubic root of 29130880 is about 307.6931784591.

The spelling of 29130880 in words is "twenty-nine million, one hundred thirty thousand, eight hundred eighty".