29268480 has 160 divisors (see below), whose sum is σ = 97029504. Its totient is φ = 7520256.

The previous prime is 29268467. The next prime is 29268497. The reversal of 29268480 is 8486292.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284109 + ... + 284211.

Almost surely, 2^29268480 is an apocalyptic number.

29268480 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 29268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48514752).

29268480 is an abundant number, since it is smaller than the sum of its proper divisors (67761024).

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

29268480 is a wasteful number, since it uses less digits than its factorization.

29268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 29268480 is about 5410.0351200339. The cubic root of 29268480 is about 308.1768815890.

The spelling of 29268480 in words is "twenty-nine million, two hundred sixty-eight thousand, four hundred eighty".