28268814770800 has 120 divisors (see below), whose sum is σ = 69266715458976. Its totient is φ = 11083040517120.

The previous prime is 28268814770797. The next prime is 28268814770923. The reversal of 28268814770800 is 807741886282.

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, 20467677 + ... + 21805123.

Almost surely, 2^{28268814770800} is an apocalyptic number.

28268814770800 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 28268814770800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34633357729488).

28268814770800 is an abundant number, since it is smaller than the sum of its proper divisors (40997900688176).

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

28268814770800 is a wasteful number, since it uses less digits than its factorization.

28268814770800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338515 (or 1338504 counting only the distinct ones).

The product of its (nonzero) digits is 19267584, while the sum is 61.

The spelling of 28268814770800 in words is "twenty-eight trillion, two hundred sixty-eight billion, eight hundred fourteen million, seven hundred seventy thousand, eight hundred".