6828900 has 144 divisors (see below), whose sum is σ = 22748544. Its totient is φ = 1566720.

The previous prime is 6828893. The next prime is 6828911. The reversal of 6828900 is 98286.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66249 + ... + 66351.

It is an arithmetic number, because the mean of its divisors is an integer number (157976).

Almost surely, 2^6828900 is an apocalyptic number.

6828900 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 6828900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11374272).

6828900 is an abundant number, since it is smaller than the sum of its proper divisors (15919644).

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

6828900 is a wasteful number, since it uses less digits than its factorization.

6828900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 6828900 is about 2613.2164089489. The cubic root of 6828900 is about 189.7216607767.

The spelling of 6828900 in words is "six million, eight hundred twenty-eight thousand, nine hundred".