28776457395840 has 512 divisors, whose sum is σ = 114514834544640. Its totient is φ = 5971343523840.

The previous prime is 28776457395787. The next prime is 28776457395841. The reversal of 28776457395840 is 4859375467782.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (28776457395841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108233947 + ... + 108499493.

It is an arithmetic number, because the mean of its divisors is an integer number (223661786220).

Almost surely, 2^{28776457395840} is an apocalyptic number.

28776457395840 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 28776457395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57257417272320).

28776457395840 is an abundant number, since it is smaller than the sum of its proper divisors (85738377148800).

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

28776457395840 is a wasteful number, since it uses less digits than its factorization.

28776457395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266320 (or 266308 counting only the distinct ones).

The product of its (nonzero) digits is 2844979200, while the sum is 75.

The spelling of 28776457395840 in words is "twenty-eight trillion, seven hundred seventy-six billion, four hundred fifty-seven million, three hundred ninety-five thousand, eight hundred forty".