6728213100 has 144 divisors (see below), whose sum is σ = 22498560000. Its totient is φ = 1520555520.

The previous prime is 6728213081. The next prime is 6728213111. The reversal of 6728213100 is 13128276.

It is a super-2 number, since 2×6728213100² = 90537703038023220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 168901 + ... + 204899.

It is an arithmetic number, because the mean of its divisors is an integer number (156240000).

Almost surely, 2^6728213100 is an apocalyptic number.

6728213100 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 6728213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280000).

6728213100 is an abundant number, since it is smaller than the sum of its proper divisors (15770346900).

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

6728213100 is a wasteful number, since it uses less digits than its factorization.

6728213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36112 (or 36105 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 6728213100 is about 82025.6856112767. The cubic root of 6728213100 is about 1887.8460666865.

The spelling of 6728213100 in words is "six billion, seven hundred twenty-eight million, two hundred thirteen thousand, one hundred".