28845813333600 has 864 divisors, whose sum is σ = 109791636948000. Its totient is φ = 7300535316480.

The previous prime is 28845813333559. The next prime is 28845813333619. The reversal of 28845813333600 is 633331854882.

It is a happy number.

28845813333600 is a `hidden beast` number, since 28 + 8 + 4 + 5 + 8 + 1 + 3 + 3 + 3 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2180491786 + ... + 2180505014.

It is an arithmetic number, because the mean of its divisors is an integer number (127073653875).

Almost surely, 2^{28845813333600} is an apocalyptic number.

28845813333600 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 28845813333600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54895818474000).

28845813333600 is an abundant number, since it is smaller than the sum of its proper divisors (80945823614400).

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

28845813333600 is a wasteful number, since it uses less digits than its factorization.

28845813333600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13405 (or 13327 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 28845813333600 in words is "twenty-eight trillion, eight hundred forty-five billion, eight hundred thirteen million, three hundred thirty-three thousand, six hundred".