29922048 has 216 divisors, whose sum is σ = 98954128. Its totient is φ = 8957952.

The previous prime is 29922041. The next prime is 29922049. The reversal of 29922048 is 84022992.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29922041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808686 + ... + 808722.

Almost surely, 2^29922048 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 29922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49477064).

29922048 is an abundant number, since it is smaller than the sum of its proper divisors (69032080).

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

29922048 is an equidigital number, since it uses as much as digits as its factorization.

29922048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 29922048 is about 5470.1049350081. The cubic root of 29922048 is about 310.4538893930.

Adding to 29922048 its product of nonzero digits (20736), we get a square (29942784 = 5472²).

The spelling of 29922048 in words is "twenty-nine million, nine hundred twenty-two thousand, forty-eight".