130633728 has 52 divisors (see below), whose sum is σ = 348346848. Its totient is φ = 43540480.

The previous prime is 130633691. The next prime is 130633739. The reversal of 130633728 is 827336031.

It is a super-3 number, since 3×130633728³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6973 + ... + 17603.

Almost surely, 2^130633728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174173424).

130633728 is an abundant number, since it is smaller than the sum of its proper divisors (217713120).

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

130633728 is an equidigital number, since it uses as much as digits as its factorization.

130633728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10658 (or 10636 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 130633728 is about 11429.5112756408. The cubic root of 130633728 is about 507.4015313660.

Adding to 130633728 its reverse (827336031), we get a palindrome (957969759).

The spelling of 130633728 in words is "one hundred thirty million, six hundred thirty-three thousand, seven hundred twenty-eight".