288198900 has 216 divisors, whose sum is σ = 1009872864. Its totient is φ = 68140800.

The previous prime is 288198871. The next prime is 288198907. The reversal of 288198900 is 9891882.

It is a super-2 number, since 2×288198900² = 166117211922420000, which contains 22 as substring.

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 (288198907) 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 71 ways as a sum of consecutive naturals, for example, 425362 + ... + 426038.

Almost surely, 2^288198900 is an apocalyptic number.

288198900 is a gapful number since it is divisible by the number (20) 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 288198900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504936432).

288198900 is an abundant number, since it is smaller than the sum of its proper divisors (721673964).

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

288198900 is a wasteful number, since it uses less digits than its factorization.

288198900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 288198900 is about 16976.4218844844. The cubic root of 288198900 is about 660.5374410284.

The spelling of 288198900 in words is "two hundred eighty-eight million, one hundred ninety-eight thousand, nine hundred".