992738880 has 336 divisors, whose sum is σ = 4073981184. Its totient is φ = 216944640.

The previous prime is 992738869. The next prime is 992738881. The reversal of 992738880 is 88837299.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (992738881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462610 + ... + 464750.

It is an arithmetic number, because the mean of its divisors is an integer number (12124944).

Almost surely, 2^992738880 is an apocalyptic number.

992738880 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 992738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036990592).

992738880 is an abundant number, since it is smaller than the sum of its proper divisors (3081242304).

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

992738880 is a wasteful number, since it uses less digits than its factorization.

992738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 992738880 is about 31507.7590444005. The cubic root of 992738880 is about 997.5737447128.

The spelling of 992738880 in words is "nine hundred ninety-two million, seven hundred thirty-eight thousand, eight hundred eighty".