28777496799744 has 2160 divisors, whose sum is σ = 110298385701504. Its totient is φ = 7191921623040.

The previous prime is 28777496799721. The next prime is 28777496799767. The reversal of 28777496799744 is 44799769477782.

28777496799744 is a `hidden beast` number, since 2 + 8 + 7 + 7 + 7 + 496 + 79 + 9 + 7 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (28777496799721) and next prime (28777496799767).

It is a super-3 number, since 3×28777496799744³ (a number of 41 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 93737774439 + ... + 93737774745.

Almost surely, 2^{28777496799744} is an apocalyptic number.

28777496799744 is a gapful number since it is divisible by the number (24) 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 28777496799744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55149192850752).

28777496799744 is an abundant number, since it is smaller than the sum of its proper divisors (81520888901760).

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

28777496799744 is a wasteful number, since it uses less digits than its factorization.

28777496799744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 450 counting only the distinct ones).

The product of its digits is 75278149632, while the sum is 90.

The spelling of 28777496799744 in words is "twenty-eight trillion, seven hundred seventy-seven billion, four hundred ninety-six million, seven hundred ninety-nine thousand, seven hundred forty-four".