998829900 has 288 divisors, whose sum is σ = 3479777280. Its totient is φ = 244823040.

The previous prime is 998829899. The next prime is 998829959. The reversal of 998829900 is 9928899.

It is a super-2 number, since 2×998829900² = 1995322338268020000, which contains 22 as substring.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2157069 + ... + 2157531.

It is an arithmetic number, because the mean of its divisors is an integer number (12082560).

Almost surely, 2^998829900 is an apocalyptic number.

998829900 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 998829900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739888640).

998829900 is an abundant number, since it is smaller than the sum of its proper divisors (2480947380).

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

998829900 is a wasteful number, since it uses less digits than its factorization.

998829900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 998829900 is about 31604.2702810870. The cubic root of 998829900 is about 999.6098144417.

The spelling of 998829900 in words is "nine hundred ninety-eight million, eight hundred twenty-nine thousand, nine hundred".