6828750 has 60 divisors (see below), whose sum is σ = 18519072. Its totient is φ = 1818000.

The previous prime is 6828749. The next prime is 6828751. The reversal of 6828750 is 578286.

It is an interprime number because it is at equal distance from previous prime (6828749) and next prime (6828751).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6828751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10947 + ... + 11553.

Almost surely, 2^6828750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6828750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9259536).

6828750 is an abundant number, since it is smaller than the sum of its proper divisors (11690322).

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

6828750 is a wasteful number, since it uses less digits than its factorization.

6828750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6828750 is about 2613.1877085277. The cubic root of 6828750 is about 189.7202716580.

The spelling of 6828750 in words is "six million, eight hundred twenty-eight thousand, seven hundred fifty".