6928289200 has 240 divisors, whose sum is σ = 20675184640. Its totient is φ = 2177280000.

The previous prime is 6928289141. The next prime is 6928289209. The reversal of 6928289200 is 29828296.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6928289209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1647100 + ... + 1651300.

Almost surely, 2^6928289200 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 6928289200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10337592320).

6928289200 is an abundant number, since it is smaller than the sum of its proper divisors (13746895440).

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

6928289200 is a wasteful number, since it uses less digits than its factorization.

6928289200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4276 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 6928289200 is about 83236.3454267425. The cubic root of 6928289200 is about 1906.3764711217.

The spelling of 6928289200 in words is "six billion, nine hundred twenty-eight million, two hundred eighty-nine thousand, two hundred".