10828779696 has 180 divisors, whose sum is σ = 36004561632. Its totient is φ = 3028015872.

The previous prime is 10828779679. The next prime is 10828779737. The reversal of 10828779696 is 69697782801.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 315306 + ... + 347958.

Almost surely, 2^10828779696 is an apocalyptic number.

10828779696 is a gapful number since it is divisible by the number (16) 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 10828779696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18002280816).

10828779696 is an abundant number, since it is smaller than the sum of its proper divisors (25175781936).

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

10828779696 is a wasteful number, since it uses less digits than its factorization.

10828779696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32728 (or 32712 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 10828779696 in words is "ten billion, eight hundred twenty-eight million, seven hundred seventy-nine thousand, six hundred ninety-six".