6123892728 has 128 divisors (see below), whose sum is σ = 16735507200. Its totient is φ = 1859979264.

The previous prime is 6123892721. The next prime is 6123892757. The reversal of 6123892728 is 8272983216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6123892721) 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, 1610926 + ... + 1614722.

It is an arithmetic number, because the mean of its divisors is an integer number (130746150).

Almost surely, 2^6123892728 is an apocalyptic number.

6123892728 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 6123892728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8367753600).

6123892728 is an abundant number, since it is smaller than the sum of its proper divisors (10611614472).

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

6123892728 is a wasteful number, since it uses less digits than its factorization.

6123892728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3945 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 6123892728 is about 78255.3047914325. The cubic root of 6123892728 is about 1829.5425940335.

The spelling of 6123892728 in words is "six billion, one hundred twenty-three million, eight hundred ninety-two thousand, seven hundred twenty-eight".