29421648 has 60 divisors (see below), whose sum is σ = 83759520. Its totient is φ = 9638208.

The previous prime is 29421599. The next prime is 29421649. The reversal of 29421648 is 84612492.

29421648 is a `hidden beast` number, since 2 + 9 + 4 + 2 + 1 + 648 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (29421649) 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, 6765 + ... + 10227.

It is an arithmetic number, because the mean of its divisors is an integer number (1395992).

Almost surely, 2^29421648 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 29421648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41879760).

29421648 is an abundant number, since it is smaller than the sum of its proper divisors (54337872).

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

29421648 is a wasteful number, since it uses less digits than its factorization.

29421648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3527 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 29421648 is about 5424.1725636266. The cubic root of 29421648 is about 308.7135309633.

The spelling of 29421648 in words is "twenty-nine million, four hundred twenty-one thousand, six hundred forty-eight".