6258628728 has 128 divisors (see below), whose sum is σ = 19963872000. Its totient is φ = 1796722560.

The previous prime is 6258628703. The next prime is 6258628729. The reversal of 6258628728 is 8278268526.

6258628728 is a `hidden beast` number, since 6 + 2 + 5 + 8 + 628 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6258628729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24175 + ... + 114462.

It is an arithmetic number, because the mean of its divisors is an integer number (155967750).

Almost surely, 2^6258628728 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 6258628728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9981936000).

6258628728 is an abundant number, since it is smaller than the sum of its proper divisors (13705243272).

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

6258628728 is a wasteful number, since it uses less digits than its factorization.

6258628728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138682 (or 138672 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 6258628728 is about 79111.4955490035. The cubic root of 6258628728 is about 1842.8630529981.

The spelling of 6258628728 in words is "six billion, two hundred fifty-eight million, six hundred twenty-eight thousand, seven hundred twenty-eight".