130033728 has 112 divisors (see below), whose sum is σ = 417088320. Its totient is φ = 39398400.

The previous prime is 130033727. The next prime is 130033741. The reversal of 130033728 is 827330031.

130033728 is a `hidden beast` number, since 1 + 300 + 337 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130033723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15588 + ... + 22428.

Almost surely, 2^130033728 is an apocalyptic number.

130033728 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 130033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208544160).

130033728 is an abundant number, since it is smaller than the sum of its proper divisors (287054592).

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

130033728 is a wasteful number, since it uses less digits than its factorization.

130033728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6873 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 130033728 is about 11403.2332257128. The cubic root of 130033728 is about 506.6235081736.

Adding to 130033728 its reverse (827330031), we get a palindrome (957363759).

The spelling of 130033728 in words is "one hundred thirty million, thirty-three thousand, seven hundred twenty-eight".