28682100 has 90 divisors (see below), whose sum is σ = 93002294. Its totient is φ = 7646400.

The previous prime is 28682051. The next prime is 28682107. The reversal of 28682100 is 128682.

It can be written as a sum of positive squares in 3 ways, for example, as 1245456 + 27436644 = 1116^2 + 5238^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28682107) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6330 + ... + 9870.

Almost surely, 2^28682100 is an apocalyptic number.

28682100 is a gapful number since it is divisible by the number (20) 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 28682100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46501147).

28682100 is an abundant number, since it is smaller than the sum of its proper divisors (64320194).

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

28682100 is a wasteful number, since it uses less digits than its factorization.

28682100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 28682100 is about 5355.5671968523. The cubic root of 28682100 is about 306.1049236498.

It can be divided in two parts, 28682 and 100, that added together give a palindrome (28782).

The spelling of 28682100 in words is "twenty-eight million, six hundred eighty-two thousand, one hundred".