29795952 has 80 divisors (see below), whose sum is σ = 83308160. Its totient is φ = 9144576.

The previous prime is 29795939. The next prime is 29795957. The reversal of 29795952 is 25959792.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29795957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33303 + ... + 34185.

It is an arithmetic number, because the mean of its divisors is an integer number (1041352).

Almost surely, 2^29795952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29795952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41654080).

29795952 is an abundant number, since it is smaller than the sum of its proper divisors (53512208).

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

29795952 is a wasteful number, since it uses less digits than its factorization.

29795952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

The product of its digits is 510300, while the sum is 48.

The square root of 29795952 is about 5458.5668448779. The cubic root of 29795952 is about 310.0171756006.

The spelling of 29795952 in words is "twenty-nine million, seven hundred ninety-five thousand, nine hundred fifty-two".