29201128 has 32 divisors (see below), whose sum is σ = 61126560. Its totient is φ = 12962880.

The previous prime is 29201083. The next prime is 29201131. The reversal of 29201128 is 82110292.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75 + ... + 7642.

It is an arithmetic number, because the mean of its divisors is an integer number (1910205).

Almost surely, 2^29201128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29201128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30563280).

29201128 is an abundant number, since it is smaller than the sum of its proper divisors (31925432).

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

29201128 is a wasteful number, since it uses less digits than its factorization.

29201128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7777 (or 7773 counting only the distinct ones).

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

The square root of 29201128 is about 5403.8068063172. The cubic root of 29201128 is about 307.9403100161.

The spelling of 29201128 in words is "twenty-nine million, two hundred one thousand, one hundred twenty-eight".