29384712 has 72 divisors (see below), whose sum is σ = 92587950. Its totient is φ = 8394624.

The previous prime is 29384711. The next prime is 29384723. The reversal of 29384712 is 21748392.

It can be written as a sum of positive squares in only one way, i.e., 28451556 + 933156 = 5334^2 + 966^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×29384712² = 1726922598645888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (29384711) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 637 + ... + 7692.

Almost surely, 2^29384712 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 29384712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46293975).

29384712 is an abundant number, since it is smaller than the sum of its proper divisors (63203238).

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

29384712 is a wasteful number, since it uses less digits than its factorization.

29384712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8355 (or 8341 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 29384712 is about 5420.7667354351. The cubic root of 29384712 is about 308.5842903222.

The spelling of 29384712 in words is "twenty-nine million, three hundred eighty-four thousand, seven hundred twelve".