29153120 has 96 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 10967040.

The previous prime is 29153119. The next prime is 29153143. The reversal of 29153120 is 2135192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282989 + ... + 283091.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 2^29153120 is an apocalyptic number.

29153120 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 29153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

29153120 is an abundant number, since it is smaller than the sum of its proper divisors (43967200).

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

29153120 is a wasteful number, since it uses less digits than its factorization.

29153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 29153120 is about 5399.3629253830. The cubic root of 29153120 is about 307.7714614309.

The spelling of 29153120 in words is "twenty-nine million, one hundred fifty-three thousand, one hundred twenty".