289072800 has 216 divisors, whose sum is σ = 1057807296. Its totient is φ = 77034240.

The previous prime is 289072757. The next prime is 289072843. The reversal of 289072800 is 8270982.

It is an interprime number because it is at equal distance from previous prime (289072757) and next prime (289072843).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 193657 + ... + 195143.

It is an arithmetic number, because the mean of its divisors is an integer number (4897256).

Almost surely, 2^289072800 is an apocalyptic number.

289072800 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 289072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528903648).

289072800 is an abundant number, since it is smaller than the sum of its proper divisors (768734496).

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

289072800 is a wasteful number, since it uses less digits than its factorization.

289072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 289072800 is about 17002.1410416453. The cubic root of 289072800 is about 661.2044123407.

The spelling of 289072800 in words is "two hundred eighty-nine million, seventy-two thousand, eight hundred".