29528772 has 72 divisors (see below), whose sum is σ = 86337216. Its totient is φ = 7785792.

The previous prime is 29528767. The next prime is 29528783. The reversal of 29528772 is 27782592.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5713 + ... + 9575.

It is an arithmetic number, because the mean of its divisors is an integer number (1199128).

Almost surely, 2^29528772 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 29528772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43168608).

29528772 is an abundant number, since it is smaller than the sum of its proper divisors (56808444).

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

29528772 is a wasteful number, since it uses less digits than its factorization.

29528772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3888 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 29528772 is about 5434.0382773771. The cubic root of 29528772 is about 309.0877517031.

The spelling of 29528772 in words is "twenty-nine million, five hundred twenty-eight thousand, seven hundred seventy-two".