29298820 has 72 divisors (see below), whose sum is σ = 67616136. Its totient is φ = 10653696.

The previous prime is 29298811. The next prime is 29298851. The reversal of 29298820 is 2889292.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 311364 + 28987456 = 558^2 + 5384^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 213792 + ... + 213928.

It is an arithmetic number, because the mean of its divisors is an integer number (939113).

Almost surely, 2^29298820 is an apocalyptic number.

29298820 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 29298820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33808068).

29298820 is an abundant number, since it is smaller than the sum of its proper divisors (38317316).

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

29298820 is a wasteful number, since it uses less digits than its factorization.

29298820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 29298820 is about 5412.8384420745. The cubic root of 29298820 is about 308.2833312310.

The spelling of 29298820 in words is "twenty-nine million, two hundred ninety-eight thousand, eight hundred twenty".