28010677344 has 288 divisors, whose sum is σ = 84736350720. Its totient is φ = 8051457024.

The previous prime is 28010677313. The next prime is 28010677421. The reversal of 28010677344 is 44377601082.

It is a junction number, because it is equal to n+sod(n) for n = 28010677296 and 28010677305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35591319 + ... + 35592105.

It is an arithmetic number, because the mean of its divisors is an integer number (294223440).

Almost surely, 2^28010677344 is an apocalyptic number.

28010677344 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 28010677344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42368175360).

28010677344 is an abundant number, since it is smaller than the sum of its proper divisors (56725673376).

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

28010677344 is a wasteful number, since it uses less digits than its factorization.

28010677344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 28010677344 in words is "twenty-eight billion, ten million, six hundred seventy-seven thousand, three hundred forty-four".