992282760 has 192 divisors, whose sum is σ = 3701767680. Its totient is φ = 225815040.

The previous prime is 992282747. The next prime is 992282789. The reversal of 992282760 is 67282299.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 682194 + ... + 683646.

It is an arithmetic number, because the mean of its divisors is an integer number (19280040).

Almost surely, 2^992282760 is an apocalyptic number.

992282760 is a gapful number since it is divisible by the number (90) 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 992282760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850883840).

992282760 is an abundant number, since it is smaller than the sum of its proper divisors (2709484920).

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

992282760 is a wasteful number, since it uses less digits than its factorization.

992282760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 992282760 is about 31500.5199957080. The cubic root of 992282760 is about 997.4209408388.

The spelling of 992282760 in words is "nine hundred ninety-two million, two hundred eighty-two thousand, seven hundred sixty".