129284208 has 120 divisors (see below), whose sum is σ = 392125200. Its totient is φ = 40777344.

The previous prime is 129284153. The next prime is 129284231. The reversal of 129284208 is 802482921.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155538 + ... + 156366.

It is an arithmetic number, because the mean of its divisors is an integer number (3267710).

Almost surely, 2^129284208 is an apocalyptic number.

129284208 is a gapful number since it is divisible by the number (18) 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 129284208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196062600).

129284208 is an abundant number, since it is smaller than the sum of its proper divisors (262840992).

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

129284208 is a wasteful number, since it uses less digits than its factorization.

129284208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 853 counting only the distinct ones).

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

The square root of 129284208 is about 11370.3213674900. The cubic root of 129284208 is about 505.6482320261.

The spelling of 129284208 in words is "one hundred twenty-nine million, two hundred eighty-four thousand, two hundred eight".