28342877904000 has 3072 divisors, whose sum is σ = 127823107276800. Its totient is φ = 5925519360000.

The previous prime is 28342877903957. The next prime is 28342877904007. The reversal of 28342877904000 is 40977824382.

It is a happy number.

28342877904000 is a `hidden beast` number, since 2 + 83 + 4 + 2 + 8 + 77 + 90 + 400 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (28342877904007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15860591107 + ... + 15860592893.

It is an arithmetic number, because the mean of its divisors is an integer number (41609084400).

Almost surely, 2^{28342877904000} is an apocalyptic number.

28342877904000 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 28342877904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63911553638400).

28342877904000 is an abundant number, since it is smaller than the sum of its proper divisors (99480229372800).

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

28342877904000 is a wasteful number, since it uses less digits than its factorization.

28342877904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 28342877904000 in words is "twenty-eight trillion, three hundred forty-two billion, eight hundred seventy-seven million, nine hundred four thousand".