10828112160 has 192 divisors, whose sum is σ = 36875260800. Its totient is φ = 2661507072.

The previous prime is 10828112149. The next prime is 10828112161. The reversal of 10828112160 is 6121182801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10828112161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321396 + ... + 353484.

It is an arithmetic number, because the mean of its divisors is an integer number (192058650).

Almost surely, 2^10828112160 is an apocalyptic number.

10828112160 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 10828112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18437630400).

10828112160 is an abundant number, since it is smaller than the sum of its proper divisors (26047148640).

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

10828112160 is a wasteful number, since it uses less digits than its factorization.

10828112160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32163 (or 32155 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

Adding to 10828112160 its reverse (6121182801), we get a palindrome (16949294961).

The spelling of 10828112160 in words is "ten billion, eight hundred twenty-eight million, one hundred twelve thousand, one hundred sixty".