29285312 has 56 divisors (see below), whose sum is σ = 67056000. Its totient is φ = 12430080.

The previous prime is 29285293. The next prime is 29285317. The reversal of 29285312 is 21358292.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29285317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58439 + ... + 58937.

Almost surely, 2^29285312 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 29285312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33528000).

29285312 is an abundant number, since it is smaller than the sum of its proper divisors (37770688).

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

29285312 is a wasteful number, since it uses less digits than its factorization.

29285312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 639 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 29285312 is about 5411.5905240511. The cubic root of 29285312 is about 308.2359467132.

The spelling of 29285312 in words is "twenty-nine million, two hundred eighty-five thousand, three hundred twelve".