10828337472 has 112 divisors (see below), whose sum is σ = 32609942400. Its totient is φ = 3521387520.

The previous prime is 10828337461. The next prime is 10828337549. The reversal of 10828337472 is 27473382801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5572 + ... + 147267.

It is an arithmetic number, because the mean of its divisors is an integer number (291160200).

Almost surely, 2^10828337472 is an apocalyptic number.

10828337472 is a gapful number since it is divisible by the number (12) 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 10828337472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16304971200).

10828337472 is an abundant number, since it is smaller than the sum of its proper divisors (21781604928).

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

10828337472 is a wasteful number, since it uses less digits than its factorization.

10828337472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152901 (or 152885 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 10828337472 in words is "ten billion, eight hundred twenty-eight million, three hundred thirty-seven thousand, four hundred seventy-two".