29128842 has 64 divisors (see below), whose sum is σ = 67852800. Its totient is φ = 9253440.

The previous prime is 29128829. The next prime is 29128877. The reversal of 29128842 is 24882192.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 29128797 and 29128806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121759 + ... + 121997.

It is an arithmetic number, because the mean of its divisors is an integer number (1060200).

Almost surely, 2^29128842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29128842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33926400).

29128842 is an abundant number, since it is smaller than the sum of its proper divisors (38723958).

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

29128842 is a wasteful number, since it uses less digits than its factorization.

29128842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 29128842 is about 5397.1142289190. The cubic root of 29128842 is about 307.6860028740.

The spelling of 29128842 in words is "twenty-nine million, one hundred twenty-eight thousand, eight hundred forty-two".