10828276440 has 256 divisors, whose sum is σ = 34733629440. Its totient is φ = 2695680000.

The previous prime is 10828276427. The next prime is 10828276507. The reversal of 10828276440 is 4467282801.

It is a super-3 number, since 3×10828276440³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10828276392 and 10828276401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20783380 + ... + 20783900.

It is an arithmetic number, because the mean of its divisors is an integer number (135678240).

Almost surely, 2^10828276440 is an apocalyptic number.

10828276440 is a gapful number since it is divisible by the number (10) 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 10828276440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366814720).

10828276440 is an abundant number, since it is smaller than the sum of its proper divisors (23905353000).

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

10828276440 is a wasteful number, since it uses less digits than its factorization.

10828276440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 10828276440 in words is "ten billion, eight hundred twenty-eight million, two hundred seventy-six thousand, four hundred forty".