29281120 has 96 divisors (see below), whose sum is σ = 76640256. Its totient is φ = 10483200.

The previous prime is 29281111. The next prime is 29281121. The reversal of 29281120 is 2118292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29281121) 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, 223455 + ... + 223585.

It is an arithmetic number, because the mean of its divisors is an integer number (798336).

Almost surely, 2^29281120 is an apocalyptic number.

29281120 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 29281120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38320128).

29281120 is an abundant number, since it is smaller than the sum of its proper divisors (47359136).

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

29281120 is a wasteful number, since it uses less digits than its factorization.

29281120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 29281120 is about 5411.2031933758. The cubic root of 29281120 is about 308.2212386945.

The spelling of 29281120 in words is "twenty-nine million, two hundred eighty-one thousand, one hundred twenty".