998528400 has 180 divisors, whose sum is σ = 3510033280. Its totient is φ = 262828800.

The previous prime is 998528389. The next prime is 998528407. The reversal of 998528400 is 4825899.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (998528407) 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, 282645 + ... + 286155.

Almost surely, 2^998528400 is an apocalyptic number.

998528400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a pronic number, being equal to 31599×31600.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755016640).

998528400 is an abundant number, since it is smaller than the sum of its proper divisors (2511504880).

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

998528400 is a wasteful number, since it uses less digits than its factorization.

998528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 998528400 is about 31599.4999960442. The cubic root of 998528400 is about 999.5092258468.

The spelling of 998528400 in words is "nine hundred ninety-eight million, five hundred twenty-eight thousand, four hundred".