6131628000 has 576 divisors, whose sum is σ = 23678246592. Its totient is φ = 1496678400.

The previous prime is 6131627993. The next prime is 6131628001. The reversal of 6131628000 is 8261316.

6131628000 is a `hidden beast` number, since 6 + 1 + 31 + 628 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6131628001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26315884 + ... + 26316116.

It is an arithmetic number, because the mean of its divisors is an integer number (41108067).

Almost surely, 2^6131628000 is an apocalyptic number.

6131628000 is a gapful number since it is divisible by the number (60) 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 6131628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11839123296).

6131628000 is an abundant number, since it is smaller than the sum of its proper divisors (17546618592).

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

6131628000 is a wasteful number, since it uses less digits than its factorization.

6131628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6131628000 is about 78304.7125018667. The cubic root of 6131628000 is about 1830.3125865747.

Adding to 6131628000 its reverse (8261316), we get a palindrome (6139889316).

The spelling of 6131628000 in words is "six billion, one hundred thirty-one million, six hundred twenty-eight thousand".