992828245248 has 216 divisors, whose sum is σ = 3272341800000. Its totient is φ = 283592835072.

The previous prime is 992828245187. The next prime is 992828245291. The reversal of 992828245248 is 842542828299.

992828245248 is a `hidden beast` number, since 9 + 9 + 2 + 82 + 8 + 24 + 524 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120939768 + ... + 120947976.

Almost surely, 2^992828245248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992828245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636170900000).

992828245248 is an abundant number, since it is smaller than the sum of its proper divisors (2279513554752).

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

992828245248 is a wasteful number, since it uses less digits than its factorization.

992828245248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15737 (or 15720 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 992828245248 in words is "nine hundred ninety-two billion, eight hundred twenty-eight million, two hundred forty-five thousand, two hundred forty-eight".