29852920 has 64 divisors (see below), whose sum is σ = 69854400. Its totient is φ = 11473920.

The previous prime is 29852903. The next prime is 29852923. The reversal of 29852920 is 2925892.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 29852920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29852923) 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 15 ways as a sum of consecutive naturals, for example, 178677 + ... + 178843.

It is an arithmetic number, because the mean of its divisors is an integer number (1091475).

Almost surely, 2^29852920 is an apocalyptic number.

29852920 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 29852920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34927200).

29852920 is an abundant number, since it is smaller than the sum of its proper divisors (40001480).

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

29852920 is a wasteful number, since it uses less digits than its factorization.

29852920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 29852920 is about 5463.7825725407. The cubic root of 29852920 is about 310.2146276436.

The spelling of 29852920 in words is "twenty-nine million, eight hundred fifty-two thousand, nine hundred twenty".