29281248 has 72 divisors (see below), whose sum is σ = 83793528. Its totient is φ = 9699072.

The previous prime is 29281229. The next prime is 29281289. The reversal of 29281248 is 84218292.

It is a tau number, because it is divible by the number of its divisors (72).

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84211 + ... + 84557.

It is an arithmetic number, because the mean of its divisors is an integer number (1163799).

Almost surely, 2^29281248 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 29281248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41896764).

29281248 is an abundant number, since it is smaller than the sum of its proper divisors (54512280).

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

29281248 is a wasteful number, since it uses less digits than its factorization.

29281248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 645 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 29281248 is about 5411.2150206770. The cubic root of 29281248 is about 308.2216878151.

The spelling of 29281248 in words is "twenty-nine million, two hundred eighty-one thousand, two hundred forty-eight".