28832618880 has 384 divisors, whose sum is σ = 110688963840. Its totient is φ = 6867763200.

The previous prime is 28832618839. The next prime is 28832618923. The reversal of 28832618880 is 8881623882.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×28832618880² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2315070 + ... + 2327490.

It is an arithmetic number, because the mean of its divisors is an integer number (288252510).

Almost surely, 2^28832618880 is an apocalyptic number.

28832618880 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 28832618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55344481920).

28832618880 is an abundant number, since it is smaller than the sum of its proper divisors (81856344960).

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

28832618880 is a wasteful number, since it uses less digits than its factorization.

28832618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12490 (or 12475 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 28832618880 in words is "twenty-eight billion, eight hundred thirty-two million, six hundred eighteen thousand, eight hundred eighty".