29112480 has 192 divisors, whose sum is σ = 106686720. Its totient is φ = 7400448.

The previous prime is 29112469. The next prime is 29112481. The reversal of 29112480 is 8421192.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29112481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 99214 + ... + 99506.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 2^29112480 is an apocalyptic number.

29112480 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 29112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53343360).

29112480 is an abundant number, since it is smaller than the sum of its proper divisors (77574240).

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

29112480 is a wasteful number, since it uses less digits than its factorization.

29112480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 29112480 is about 5395.5982059453. The cubic root of 29112480 is about 307.6283818480.

It can be divided in two parts, 29112 and 480, that added together give a palindrome (29592).

The spelling of 29112480 in words is "twenty-nine million, one hundred twelve thousand, four hundred eighty".