10828016440820 has 48 divisors (see below), whose sum is σ = 23050879438608. Its totient is φ = 4271772303360.

The previous prime is 10828016440783. The next prime is 10828016440837. The reversal of 10828016440820 is 2804461082801.

It can be written as a sum of positive squares in 8 ways, for example, as 779484157456 + 10048532283364 = 882884^2 + 3169942^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96539012 + ... + 96651108.

It is an arithmetic number, because the mean of its divisors is an integer number (480226654971).

Almost surely, 2^{10828016440820} is an apocalyptic number.

10828016440820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10828016440820 is an abundant number, since it is smaller than the sum of its proper divisors (12222862997788).

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

10828016440820 is a wasteful number, since it uses less digits than its factorization.

10828016440820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178340 (or 178338 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

The spelling of 10828016440820 in words is "ten trillion, eight hundred twenty-eight billion, sixteen million, four hundred forty thousand, eight hundred twenty".