29488536 has 192 divisors, whose sum is σ = 103783680. Its totient is φ = 7620480.

The previous prime is 29488531. The next prime is 29488549. The reversal of 29488536 is 63588492.

It is a junction number, because it is equal to n+sod(n) for n = 29488491 and 29488500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29488531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149590 + ... + 149786.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 2^29488536 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 29488536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

29488536 is an abundant number, since it is smaller than the sum of its proper divisors (74295144).

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

29488536 is a wasteful number, since it uses less digits than its factorization.

29488536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 29488536 is about 5430.3347963086. The cubic root of 29488536 is about 308.9472999012.

The spelling of 29488536 in words is "twenty-nine million, four hundred eighty-eight thousand, five hundred thirty-six".