6828232320 has 576 divisors, whose sum is σ = 29554073640. Its totient is φ = 1439907840.

The previous prime is 6828232277. The next prime is 6828232351. The reversal of 6828232320 is 232328286.

It can be written as a sum of positive squares in 4 ways, for example, as 1778140224 + 5050092096 = 42168^2 + 71064^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3668190 + ... + 3670050.

Almost surely, 2^6828232320 is an apocalyptic number.

6828232320 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 6828232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14777036820).

6828232320 is an abundant number, since it is smaller than the sum of its proper divisors (22725841320).

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

6828232320 is a wasteful number, since it uses less digits than its factorization.

6828232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6828232320 is about 82633.1187841776. The cubic root of 6828232320 is about 1897.1547737537.

The spelling of 6828232320 in words is "six billion, eight hundred twenty-eight million, two hundred thirty-two thousand, three hundred twenty".