29290248 has 192 divisors, whose sum is σ = 94785600. Its totient is φ = 8398080.

The previous prime is 29290241. The next prime is 29290253. The reversal of 29290248 is 84209292.

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

It is not an unprimeable number, because it can be changed into a prime (29290241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480138 + ... + 480198.

It is an arithmetic number, because the mean of its divisors is an integer number (493675).

Almost surely, 2^29290248 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 29290248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47392800).

29290248 is an abundant number, since it is smaller than the sum of its proper divisors (65495352).

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

29290248 is a wasteful number, since it uses less digits than its factorization.

29290248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 98 counting only the distinct ones).

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

The square root of 29290248 is about 5412.0465629926. The cubic root of 29290248 is about 308.2532633252.

The spelling of 29290248 in words is "twenty-nine million, two hundred ninety thousand, two hundred forty-eight".