992872800 has 216 divisors, whose sum is σ = 3596707296. Its totient is φ = 257541120.

The previous prime is 992872753. The next prime is 992872801. The reversal of 992872800 is 8278299.

992872800 is a `hidden beast` number, since 99 + 287 + 280 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992872801) 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 35 ways as a sum of consecutive naturals, for example, 264537 + ... + 268263.

Almost surely, 2^992872800 is an apocalyptic number.

992872800 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 992872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798353648).

992872800 is an abundant number, since it is smaller than the sum of its proper divisors (2603834496).

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

992872800 is a wasteful number, since it uses less digits than its factorization.

992872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 992872800 is about 31509.8841635446. The cubic root of 992872800 is about 997.6186001029.

It can be divided in two parts, 9928 and 72800, that added together give a palindrome (82728).

The spelling of 992872800 in words is "nine hundred ninety-two million, eight hundred seventy-two thousand, eight hundred".