28245884205000 has 2560 divisors, whose sum is σ = 118406129909760. Its totient is φ = 5443200000000.

The previous prime is 28245884204983. The next prime is 28245884205043. The reversal of 28245884205000 is 50248854282.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 104228354865 + ... + 104228355135.

It is an arithmetic number, because the mean of its divisors is an integer number (46252394496).

Almost surely, 2^{28245884205000} is an apocalyptic number.

28245884205000 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 28245884205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59203064954880).

28245884205000 is an abundant number, since it is smaller than the sum of its proper divisors (90160245704760).

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

28245884205000 is a wasteful number, since it uses less digits than its factorization.

28245884205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 48.

The spelling of 28245884205000 in words is "twenty-eight trillion, two hundred forty-five billion, eight hundred eighty-four million, two hundred five thousand".