29282112 has 84 divisors (see below), whose sum is σ = 86875620. Its totient is φ = 9418752.

The previous prime is 29282107. The next prime is 29282117. The reversal of 29282112 is 21128292.

It is an interprime number because it is at equal distance from previous prime (29282107) and next prime (29282117).

It can be written as a sum of positive squares in 2 ways, for example, as 6471936 + 22810176 = 2544^2 + 4776^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29282117) 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, 15828 + ... + 17580.

Almost surely, 2^29282112 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 29282112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43437810).

29282112 is an abundant number, since it is smaller than the sum of its proper divisors (57593508).

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

29282112 is a wasteful number, since it uses less digits than its factorization.

29282112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1787 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 29282112 is about 5411.2948542840. The cubic root of 29282112 is about 308.2247193448.

The spelling of 29282112 in words is "twenty-nine million, two hundred eighty-two thousand, one hundred twelve".