29113280 has 112 divisors (see below), whose sum is σ = 81418176. Its totient is φ = 9707520.

The previous prime is 29113261. The next prime is 29113291. The reversal of 29113280 is 8231192.

It is a tau number, because it is divible by the number of its divisors (112).

It is a cake number, because a cake can be divided into 29113280 parts by 559 planar cuts.

It is a congruent number.

It is an unprimeable number.

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, 91682 + ... + 91998.

It is an arithmetic number, because the mean of its divisors is an integer number (726948).

Almost surely, 2^29113280 is an apocalyptic number.

29113280 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 29113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40709088).

29113280 is an abundant number, since it is smaller than the sum of its proper divisors (52304896).

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

29113280 is a wasteful number, since it uses less digits than its factorization.

29113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 29113280 is about 5395.6723399406. The cubic root of 29113280 is about 307.6311996596.

The spelling of 29113280 in words is "twenty-nine million, one hundred thirteen thousand, two hundred eighty".