129663828 has 288 divisors, whose sum is σ = 440294400. Its totient is φ = 32472576.

The previous prime is 129663803. The next prime is 129663869. The reversal of 129663828 is 828366921.

129663828 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 638 + 2 + 8 = 666.

It is a super-2 number, since 2×129663828² = 33625416583227168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2197663 + ... + 2197721.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2^129663828 is an apocalyptic number.

129663828 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 129663828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

129663828 is an abundant number, since it is smaller than the sum of its proper divisors (310630572).

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

129663828 is a wasteful number, since it uses less digits than its factorization.

129663828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 129663828 is about 11387.0025906733. The cubic root of 129663828 is about 506.1426636637.

The spelling of 129663828 in words is "one hundred twenty-nine million, six hundred sixty-three thousand, eight hundred twenty-eight".