130627728 has 450 divisors, whose sum is σ = 511853958. Its totient is φ = 31933440.

The previous prime is 130627699. The next prime is 130627729. The reversal of 130627728 is 827726031.

130627728 is a `hidden beast` number, since 1 + 3 + 0 + 627 + 7 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122943744 + 7683984 = 11088^2 + 2772^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 130627692 and 130627701.

It is not an unprimeable number, because it can be changed into a prime (130627729) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7683976 + ... + 7683992.

Almost surely, 2^130627728 is an apocalyptic number.

130627728 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 130627728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255926979).

130627728 is an abundant number, since it is smaller than the sum of its proper divisors (381226230).

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

130627728 is a wasteful number, since it uses less digits than its factorization.

130627728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 130627728 is about 11429.2487942122. The cubic root of 130627728 is about 507.3937629389.

The spelling of 130627728 in words is "one hundred thirty million, six hundred twenty-seven thousand, seven hundred twenty-eight".