10828838160 has 960 divisors, whose sum is σ = 47420964864. Its totient is φ = 2239488000.

The previous prime is 10828838147. The next prime is 10828838183. The reversal of 10828838160 is 6183882801.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71714085 + ... + 71714235.

Almost surely, 2^10828838160 is an apocalyptic number.

10828838160 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 10828838160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23710482432).

10828838160 is an abundant number, since it is smaller than the sum of its proper divisors (36592126704).

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

10828838160 is a wasteful number, since it uses less digits than its factorization.

10828838160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 10828838160 in words is "ten billion, eight hundred twenty-eight million, eight hundred thirty-eight thousand, one hundred sixty".