29813952 has 84 divisors (see below), whose sum is σ = 91790520. Its totient is φ = 8515584.

The previous prime is 29813951. The next prime is 29813989. The reversal of 29813952 is 25931892.

It is a tau number, because it is divible by the number of its divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 29813952.

It is not an unprimeable number, because it can be changed into a prime (29813951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7824 + ... + 10992.

Almost surely, 2^29813952 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 29813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45895260).

29813952 is an abundant number, since it is smaller than the sum of its proper divisors (61976568).

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

29813952 is a wasteful number, since it uses less digits than its factorization.

29813952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198 (or 3181 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 29813952 is about 5460.2153803673. The cubic root of 29813952 is about 310.0795910794.

The spelling of 29813952 in words is "twenty-nine million, eight hundred thirteen thousand, nine hundred fifty-two".