129528428400 has 1680 divisors, whose sum is σ = 580814254080. Its totient is φ = 27097804800.

The previous prime is 129528428353. The next prime is 129528428437. The reversal of 129528428400 is 4824825921.

129528428400 is a `hidden beast` number, since 1 + 2 + 9 + 528 + 42 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×129528428400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1455375556 + ... + 1455375644.

Almost surely, 2^129528428400 is an apocalyptic number.

129528428400 is a gapful number since it is divisible by the number (10) 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 129528428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290407127040).

129528428400 is an abundant number, since it is smaller than the sum of its proper divisors (451285825680).

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

129528428400 is a wasteful number, since it uses less digits than its factorization.

129528428400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 129528428400 in words is "one hundred twenty-nine billion, five hundred twenty-eight million, four hundred twenty-eight thousand, four hundred".