28880010100 has 72 divisors (see below), whose sum is σ = 64153393920. Its totient is φ = 11279656320.

The previous prime is 28880010097. The next prime is 28880010169. The reversal of 28880010100 is 101008882.

It is a super-2 number, since 2×28880010100² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2056302 + ... + 2070298.

It is an arithmetic number, because the mean of its divisors is an integer number (891019360).

Almost surely, 2^28880010100 is an apocalyptic number.

28880010100 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 28880010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32076696960).

28880010100 is an abundant number, since it is smaller than the sum of its proper divisors (35273383820).

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

28880010100 is a wasteful number, since it uses less digits than its factorization.

28880010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14497 (or 14490 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

Adding to 28880010100 its reverse (101008882), we get a palindrome (28981018982).

The spelling of 28880010100 in words is "twenty-eight billion, eight hundred eighty million, ten thousand, one hundred".