107828464156992 has 336 divisors, whose sum is σ = 311273146456272. Its totient is φ = 35687949926400.

The previous prime is 107828464156943. The next prime is 107828464156997. The reversal of 107828464156992 is 299651464828701.

It is a happy number.

107828464156992 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 2 + 8 + 464 + 15 + 69 + 92 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1569147054336 + 106259317102656 = 1252656^2 + 10308216^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 107828464156992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107828464156997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65074509828 + ... + 65074511484.

It is an arithmetic number, because the mean of its divisors is an integer number (926408173977).

Almost surely, 2^{107828464156992} is an apocalyptic number.

107828464156992 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 107828464156992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155636573228136).

107828464156992 is an abundant number, since it is smaller than the sum of its proper divisors (203444682299280).

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

107828464156992 is a wasteful number, since it uses less digits than its factorization.

107828464156992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 107828464156992 in words is "one hundred seven trillion, eight hundred twenty-eight billion, four hundred sixty-four million, one hundred fifty-six thousand, nine hundred ninety-two".