29140128 has 96 divisors (see below), whose sum is σ = 87998400. Its totient is φ = 9370368.

The previous prime is 29140087. The next prime is 29140147. The reversal of 29140128 is 82104192.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24475 + ... + 25637.

It is an arithmetic number, because the mean of its divisors is an integer number (916650).

Almost surely, 2^29140128 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 29140128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43999200).

29140128 is an abundant number, since it is smaller than the sum of its proper divisors (58858272).

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

29140128 is a wasteful number, since it uses less digits than its factorization.

29140128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1197 counting only the distinct ones).

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

The square root of 29140128 is about 5398.1596864117. The cubic root of 29140128 is about 307.7257354965.

The spelling of 29140128 in words is "twenty-nine million, one hundred forty thousand, one hundred twenty-eight".