28826668800 has 540 divisors, whose sum is σ = 112889555856. Its totient is φ = 7232716800.

The previous prime is 28826668753. The next prime is 28826668807. The reversal of 28826668800 is 886662882.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28826668807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8811165 + ... + 8814435.

Almost surely, 2^28826668800 is an apocalyptic number.

28826668800 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 28826668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56444777928).

28826668800 is an abundant number, since it is smaller than the sum of its proper divisors (84062887056).

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

28826668800 is a wasteful number, since it uses less digits than its factorization.

28826668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 28826668800 in words is "twenty-eight billion, eight hundred twenty-six million, six hundred sixty-eight thousand, eight hundred".