130828478400 has 504 divisors, whose sum is σ = 487329104080. Its totient is φ = 34517975040.

The previous prime is 130828478387. The next prime is 130828478441. The reversal of 130828478400 is 4874828031.

130828478400 is a `hidden beast` number, since 130 + 8 + 2 + 8 + 478 + 40 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 37711866 + ... + 37715334.

Almost surely, 2^130828478400 is an apocalyptic number.

130828478400 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 130828478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243664552040).

130828478400 is an abundant number, since it is smaller than the sum of its proper divisors (356500625680).

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

130828478400 is an equidigital number, since it uses as much as digits as its factorization.

130828478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 130828478400 in words is "one hundred thirty billion, eight hundred twenty-eight million, four hundred seventy-eight thousand, four hundred".