6828072384 has 168 divisors, whose sum is σ = 21283818240. Its totient is φ = 1925973504.

The previous prime is 6828072373. The next prime is 6828072413. The reversal of 6828072384 is 4832708286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×6828072384² = 93245144962286886912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 23 ways as a sum of consecutive naturals, for example, 738639 + ... + 747825.

Almost surely, 2^6828072384 is an apocalyptic number.

6828072384 is a gapful number since it is divisible by the number (64) 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 6828072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10641909120).

6828072384 is an abundant number, since it is smaller than the sum of its proper divisors (14455745856).

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

6828072384 is a wasteful number, since it uses less digits than its factorization.

6828072384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9295 (or 9278 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 6828072384 is about 82632.1510309395. The cubic root of 6828072384 is about 1897.1399614421.

The spelling of 6828072384 in words is "six billion, eight hundred twenty-eight million, seventy-two thousand, three hundred eighty-four".