29360128 has 46 divisors (see below), whose sum is σ = 67108856. Its totient is φ = 12582912.

The previous prime is 29360087. The next prime is 29360147. The reversal of 29360128 is 82106392.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 29360128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4194301 + ... + 4194307.

Almost surely, 2^29360128 is an apocalyptic number.

29360128 is a gapful number since it is divisible by the number (28) 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 29360128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33554428).

29360128 is an abundant number, since it is smaller than the sum of its proper divisors (37748728).

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

29360128 is an frugal number, since it uses more digits than its factorization.

29360128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 29360128 is about 5418.4986850603. The cubic root of 29360128 is about 308.4982098144.

The spelling of 29360128 in words is "twenty-nine million, three hundred sixty thousand, one hundred twenty-eight".