29483136 has 128 divisors (see below), whose sum is σ = 91800000. Its totient is φ = 9289728.

The previous prime is 29483131. The next prime is 29483159. The reversal of 29483136 is 63138492.

It is a tau number, because it is divible by the number of its divisors (128).

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 a self number, because there is not a number n which added to its sum of digits gives 29483136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29483131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65440 + ... + 65888.

Almost surely, 2^29483136 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 29483136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45900000).

29483136 is an abundant number, since it is smaller than the sum of its proper divisors (62316864).

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

29483136 is a wasteful number, since it uses less digits than its factorization.

29483136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 473 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 29483136 is about 5429.8375666313. The cubic root of 29483136 is about 308.9284403997.

It can be divided in two parts, 2948 and 3136, that added together give a square (6084 = 78²).

The spelling of 29483136 in words is "twenty-nine million, four hundred eighty-three thousand, one hundred thirty-six".