6131628 has 72 divisors (see below), whose sum is σ = 16864848. Its totient is φ = 1870848.

The previous prime is 6131627. The next prime is 6131641. The reversal of 6131628 is 8261316.

6131628 is a `hidden beast` number, since 6 + 1 + 31 + 628 = 666.

It is not an unprimeable number, because it can be changed into a prime (6131621) 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, 26200 + ... + 26432.

It is an arithmetic number, because the mean of its divisors is an integer number (234234).

Almost surely, 2^6131628 is an apocalyptic number.

6131628 is a gapful number since it is divisible by the number (68) 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 6131628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432424).

6131628 is an abundant number, since it is smaller than the sum of its proper divisors (10733220).

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

6131628 is a wasteful number, since it uses less digits than its factorization.

6131628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 298 counting only the distinct ones).

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

The square root of 6131628 is about 2476.2124303056. The cubic root of 6131628 is about 183.0312586575.

The spelling of 6131628 in words is "six million, one hundred thirty-one thousand, six hundred twenty-eight".