29225952 has 216 divisors, whose sum is σ = 102702600. Its totient is φ = 7838208.

The previous prime is 29225951. The next prime is 29225957. The reversal of 29225952 is 25952292.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29225951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268074 + ... + 268182.

It is an arithmetic number, because the mean of its divisors is an integer number (475475).

Almost surely, 2^29225952 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 29225952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51351300).

29225952 is an abundant number, since it is smaller than the sum of its proper divisors (73476648).

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

29225952 is a wasteful number, since it uses less digits than its factorization.

29225952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 29225952 is about 5406.1032176606. The cubic root of 29225952 is about 308.0275457458.

It can be divided in two parts, 292 and 25952, that added together give a square (26244 = 162²).

The spelling of 29225952 in words is "twenty-nine million, two hundred twenty-five thousand, nine hundred fifty-two".