29280256 has 72 divisors (see below), whose sum is σ = 64201410. Its totient is φ = 13303808.

The previous prime is 29280247. The next prime is 29280257. The reversal of 29280256 is 65208292.

It can be written as a sum of positive squares in 3 ways, for example, as 27878400 + 1401856 = 5280^2 + 1184^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29280257) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1009650 + ... + 1009678.

Almost surely, 2^29280256 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 29280256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32100705).

29280256 is an abundant number, since it is smaller than the sum of its proper divisors (34921154).

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

29280256 is an equidigital number, since it uses as much as digits as its factorization.

29280256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 29280256 is about 5411.1233584164. The cubic root of 29280256 is about 308.2182070963.

Multiplying 29280256 by its sum of digits (34), we get a square (995528704 = 31552²).

29280256 divided by its sum of digits (34) gives a square (861184 = 928²).

Subtracting 29280256 from its reverse (65208292), we obtain a square (35928036 = 5994²).

The spelling of 29280256 in words is "twenty-nine million, two hundred eighty thousand, two hundred fifty-six".