29628312 has 64 divisors (see below), whose sum is σ = 87398400. Its totient is φ = 8190720.

The previous prime is 29628311. The next prime is 29628323. The reversal of 29628312 is 21382692.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29628311) 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 15 ways as a sum of consecutive naturals, for example, 2364 + ... + 8052.

It is an arithmetic number, because the mean of its divisors is an integer number (1365600).

Almost surely, 2^29628312 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 29628312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43699200).

29628312 is an abundant number, since it is smaller than the sum of its proper divisors (57770088).

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

29628312 is a wasteful number, since it uses less digits than its factorization.

29628312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5732 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 29628312 is about 5443.1895061627. The cubic root of 29628312 is about 309.4346685850.

The spelling of 29628312 in words is "twenty-nine million, six hundred twenty-eight thousand, three hundred twelve".