992537728 has 256 divisors, whose sum is σ = 2604672000. Its totient is φ = 373911552.

The previous prime is 992537719. The next prime is 992537729. The reversal of 992537728 is 827735299.

It is a super-3 number, since 3×992537728³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992537729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21117801 + ... + 21117847.

It is an arithmetic number, because the mean of its divisors is an integer number (10174500).

Almost surely, 2^992537728 is an apocalyptic number.

992537728 is a gapful number since it is divisible by the number (98) 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 992537728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302336000).

992537728 is an abundant number, since it is smaller than the sum of its proper divisors (1612134272).

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

992537728 is a wasteful number, since it uses less digits than its factorization.

992537728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 52.

The square root of 992537728 is about 31504.5667800717. The cubic root of 992537728 is about 997.5063629429.

The spelling of 992537728 in words is "nine hundred ninety-two million, five hundred thirty-seven thousand, seven hundred twenty-eight".