29891952 has 120 divisors (see below), whose sum is σ = 88150608. Its totient is φ = 9446400.

The previous prime is 29891951. The next prime is 29891963. The reversal of 29891952 is 25919892.

It is a junction number, because it is equal to n+sod(n) for n = 29891898 and 29891907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29891951) by changing a digit.

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, 360103 + ... + 360185.

Almost surely, 2^29891952 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 29891952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44075304).

29891952 is an abundant number, since it is smaller than the sum of its proper divisors (58258656).

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

29891952 is a wasteful number, since it uses less digits than its factorization.

29891952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 29891952 is about 5467.3532902127. The cubic root of 29891952 is about 310.3497682381.

The spelling of 29891952 in words is "twenty-nine million, eight hundred ninety-one thousand, nine hundred fifty-two".