130024728 has 96 divisors (see below), whose sum is σ = 361389600. Its totient is φ = 42223104.

The previous prime is 130024723. The next prime is 130024787. The reversal of 130024728 is 827420031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130024723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659926 + ... + 660122.

It is an arithmetic number, because the mean of its divisors is an integer number (3764475).

Almost surely, 2^130024728 is an apocalyptic number.

130024728 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 130024728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180694800).

130024728 is an abundant number, since it is smaller than the sum of its proper divisors (231364872).

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

130024728 is a wasteful number, since it uses less digits than its factorization.

130024728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 130024728 is about 11402.8385939642. The cubic root of 130024728 is about 506.6118196247.

Adding to 130024728 its reverse (827420031), we get a palindrome (957444759).

The spelling of 130024728 in words is "one hundred thirty million, twenty-four thousand, seven hundred twenty-eight".