28084000100 has 36 divisors (see below), whose sum is σ = 65630150964. Its totient is φ = 10369476480.

The previous prime is 28084000057. The next prime is 28084000117. The reversal of 28084000100 is 100048082.

It can be written as a sum of positive squares in 6 ways, for example, as 11107473664 + 16976526436 = 105392^2 + 130294^2 .

It is a super-2 number, since 2×28084000100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10800239 + ... + 10802838.

It is an arithmetic number, because the mean of its divisors is an integer number (1823059749).

Almost surely, 2^28084000100 is an apocalyptic number.

28084000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28084000100 is an abundant number, since it is smaller than the sum of its proper divisors (37546150864).

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

28084000100 is a wasteful number, since it uses less digits than its factorization.

28084000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21603104 (or 21603097 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 28084000100 its reverse (100048082), we get a palindrome (28184048182).

The spelling of 28084000100 in words is "twenty-eight billion, eighty-four million, one hundred", and thus it is an aban number.