29248128 has 320 divisors, whose sum is σ = 110584320. Its totient is φ = 7464960.

The previous prime is 29248081. The next prime is 29248169. The reversal of 29248128 is 82184292.

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 nialpdrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 29248092 and 29248101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943473 + ... + 943503.

It is an arithmetic number, because the mean of its divisors is an integer number (345576).

Almost surely, 2^29248128 is an apocalyptic number.

29248128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55292160).

29248128 is an abundant number, since it is smaller than the sum of its proper divisors (81336192).

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

29248128 is a wasteful number, since it uses less digits than its factorization.

29248128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 56 counting only the distinct ones).

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

The square root of 29248128 is about 5408.1538439656. The cubic root of 29248128 is about 308.1054341911.

The spelling of 29248128 in words is "twenty-nine million, two hundred forty-eight thousand, one hundred twenty-eight".