28449057780000 has 3240 divisors, whose sum is σ = 123299935078320. Its totient is φ = 6210547200000.

The previous prime is 28449057779953. The next prime is 28449057780001. The reversal of 28449057780000 is 8775094482.

It is a happy number.

28449057780000 is a `hidden beast` number, since 2 + 8 + 4 + 490 + 5 + 77 + 80 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (28449057780001) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 217168379935 + ... + 217168380065.

It is an arithmetic number, because the mean of its divisors is an integer number (38055535518).

Almost surely, 2^{28449057780000} is an apocalyptic number.

28449057780000 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 28449057780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61649967539160).

28449057780000 is an abundant number, since it is smaller than the sum of its proper divisors (94850877298320).

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

28449057780000 is a wasteful number, since it uses less digits than its factorization.

28449057780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 28449057780000 in words is "twenty-eight trillion, four hundred forty-nine billion, fifty-seven million, seven hundred eighty thousand".