130076928 has 252 divisors, whose sum is σ = 422243388. Its totient is φ = 39813120.

The previous prime is 130076927. The next prime is 130076951. The reversal of 130076928 is 829670031.

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 82301184 = 6912^2 + 9072^2 .

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 = 130076892 and 130076901.

It is not an unprimeable number, because it can be changed into a prime (130076923) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3172588 + ... + 3172628.

It is an arithmetic number, because the mean of its divisors is an integer number (1675569).

Almost surely, 2^130076928 is an apocalyptic number.

130076928 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 130076928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211121694).

130076928 is an abundant number, since it is smaller than the sum of its proper divisors (292166460).

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

130076928 is an frugal number, since it uses more digits than its factorization.

130076928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 130076928 is about 11405.1272680317. The cubic root of 130076928 is about 506.6796057022.

The spelling of 130076928 in words is "one hundred thirty million, seventy-six thousand, nine hundred twenty-eight".