29189000 has 96 divisors (see below), whose sum is σ = 73274760. Its totient is φ = 10880000.

The previous prime is 29188987. The next prime is 29189003. The reversal of 29189000 is 98192.

It can be written as a sum of positive squares in 12 ways, for example, as 3928324 + 25260676 = 1982^2 + 5026^2 .

It is not an unprimeable number, because it can be changed into a prime (29189003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 288950 + ... + 289050.

Almost surely, 2^29189000 is an apocalyptic number.

29189000 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 29189000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36637380).

29189000 is an abundant number, since it is smaller than the sum of its proper divisors (44085760).

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

29189000 is a wasteful number, since it uses less digits than its factorization.

29189000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 29189000 is about 5402.6845179040. The cubic root of 29189000 is about 307.8976721970.

The spelling of 29189000 in words is "twenty-nine million, one hundred eighty-nine thousand".