29828952 has 64 divisors (see below), whose sum is σ = 83397600. Its totient is φ = 9878400.

The previous prime is 29828941. The next prime is 29828957. The reversal of 29828952 is 25982892.

It is a junction number, because it is equal to n+sod(n) for n = 29828898 and 29828907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29828957) 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, 42202 + ... + 42902.

Almost surely, 2^29828952 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 29828952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41698800).

29828952 is an abundant number, since it is smaller than the sum of its proper divisors (53568648).

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

29828952 is a wasteful number, since it uses less digits than its factorization.

29828952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 903 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 29828952 is about 5461.5887798332. The cubic root of 29828952 is about 310.1315847908.

The spelling of 29828952 in words is "twenty-nine million, eight hundred twenty-eight thousand, nine hundred fifty-two".