28682091900 has 432 divisors, whose sum is σ = 116245059840. Its totient is φ = 5959526400.

The previous prime is 28682091883. The next prime is 28682091917. The reversal of 28682091900 is 919028682.

It is an interprime number because it is at equal distance from previous prime (28682091883) and next prime (28682091917).

It is a super-2 number, since 2×28682091900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1863436 + ... + 1878764.

Almost surely, 2^28682091900 is an apocalyptic number.

28682091900 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 28682091900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58122529920).

28682091900 is an abundant number, since it is smaller than the sum of its proper divisors (87562967940).

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

28682091900 is a wasteful number, since it uses less digits than its factorization.

28682091900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15376 (or 15357 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 28682091900 in words is "twenty-eight billion, six hundred eighty-two million, ninety-one thousand, nine hundred".