29280960 has 112 divisors (see below), whose sum is σ = 103327200. Its totient is φ = 7805952.

The previous prime is 29280959. The next prime is 29280967. The reversal of 29280960 is 6908292.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (29280967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6946 + ... + 10334.

Almost surely, 2^29280960 is an apocalyptic number.

29280960 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 29280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51663600).

29280960 is an abundant number, since it is smaller than the sum of its proper divisors (74046240).

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

29280960 is a wasteful number, since it uses less digits than its factorization.

29280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 29280960 is about 5411.1884092129. The cubic root of 29280960 is about 308.2206772919.

The spelling of 29280960 in words is "twenty-nine million, two hundred eighty thousand, nine hundred sixty".