29885280 has 96 divisors (see below), whose sum is σ = 98267904. Its totient is φ = 7620096.

The previous prime is 29885267. The next prime is 29885281. The reversal of 29885280 is 8258892.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29885281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9687 + ... + 12393.

It is an arithmetic number, because the mean of its divisors is an integer number (1023624).

Almost surely, 2^29885280 is an apocalyptic number.

29885280 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 29885280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49133952).

29885280 is an abundant number, since it is smaller than the sum of its proper divisors (68382624).

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

29885280 is a wasteful number, since it uses less digits than its factorization.

29885280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 29885280 is about 5466.7430888967. The cubic root of 29885280 is about 310.3266760946.

The spelling of 29885280 in words is "twenty-nine million, eight hundred eighty-five thousand, two hundred eighty".