6928827360 has 1152 divisors, whose sum is σ = 30579462144. Its totient is φ = 1300561920.

The previous prime is 6928827359. The next prime is 6928827371. The reversal of 6928827360 is 637288296.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161135499 + ... + 161135541.

It is an arithmetic number, because the mean of its divisors is an integer number (26544672).

Almost surely, 2^6928827360 is an apocalyptic number.

6928827360 is a gapful number since it is divisible by the number (60) 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 6928827360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15289731072).

6928827360 is an abundant number, since it is smaller than the sum of its proper divisors (23650634784).

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

6928827360 is a wasteful number, since it uses less digits than its factorization.

6928827360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 6928827360 is about 83239.5780863887. The cubic root of 6928827360 is about 1906.4258295790.

The spelling of 6928827360 in words is "six billion, nine hundred twenty-eight million, eight hundred twenty-seven thousand, three hundred sixty".