29281445120 has 288 divisors, whose sum is σ = 74596515840. Its totient is φ = 11000586240.

The previous prime is 29281445113. The next prime is 29281445143. The reversal of 29281445120 is 2154418292.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230562497 + ... + 230562623.

It is an arithmetic number, because the mean of its divisors is an integer number (259015680).

Almost surely, 2^29281445120 is an apocalyptic number.

29281445120 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 29281445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37298257920).

29281445120 is an abundant number, since it is smaller than the sum of its proper divisors (45315070720).

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

29281445120 is a wasteful number, since it uses less digits than its factorization.

29281445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 29281445120 in words is "twenty-nine billion, two hundred eighty-one million, four hundred forty-five thousand, one hundred twenty".