992785248 has 576 divisors, whose sum is σ = 3821755392. Its totient is φ = 246343680.

The previous prime is 992785237. The next prime is 992785249. The reversal of 992785248 is 842587299.

992785248 is a `hidden beast` number, since 99 + 27 + 8 + 524 + 8 = 666.

992785248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 992785194 and 992785203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992785249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16275138 + ... + 16275198.

It is an arithmetic number, because the mean of its divisors is an integer number (6634992).

Almost surely, 2^992785248 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 992785248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910877696).

992785248 is an abundant number, since it is smaller than the sum of its proper divisors (2828970144).

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

992785248 is a wasteful number, since it uses less digits than its factorization.

992785248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 109 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 992785248 is about 31508.4948545626. The cubic root of 992785248 is about 997.5892757453.

The spelling of 992785248 in words is "nine hundred ninety-two million, seven hundred eighty-five thousand, two hundred forty-eight".