106828115328 has 512 divisors, whose sum is σ = 372041164800. Its totient is φ = 29811179520.

The previous prime is 106828115327. The next prime is 106828115351. The reversal of 106828115328 is 823511828601.

106828115328 is a `hidden beast` number, since 106 + 8 + 2 + 8 + 1 + 1 + 532 + 8 = 666.

It is a super-2 number, since 2×106828115328² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106828115323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30373026 + ... + 30376542.

It is an arithmetic number, because the mean of its divisors is an integer number (726642900).

Almost surely, 2^106828115328 is an apocalyptic number.

106828115328 is a gapful number since it is divisible by the number (18) 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 106828115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186020582400).

106828115328 is an abundant number, since it is smaller than the sum of its proper divisors (265213049472).

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

106828115328 is a wasteful number, since it uses less digits than its factorization.

106828115328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 106828115328 in words is "one hundred six billion, eight hundred twenty-eight million, one hundred fifteen thousand, three hundred twenty-eight".