6242728000 has 112 divisors (see below), whose sum is σ = 15790005504. Its totient is φ = 2443814400.

The previous prime is 6242727973. The next prime is 6242728021. The reversal of 6242728000 is 8272426.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367699 + ... + 384301.

It is an arithmetic number, because the mean of its divisors is an integer number (140982192).

Almost surely, 2^6242728000 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 6242728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7895002752).

6242728000 is an abundant number, since it is smaller than the sum of its proper divisors (9547277504).

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

6242728000 is a wasteful number, since it uses less digits than its factorization.

6242728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16677 (or 16657 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 6242728000 is about 79010.9359519301. The cubic root of 6242728000 is about 1841.3010646770.

The spelling of 6242728000 in words is "six billion, two hundred forty-two million, seven hundred twenty-eight thousand".