289393820 has 48 divisors (see below), whose sum is σ = 644958720. Its totient is φ = 108837696.

The previous prime is 289393817. The next prime is 289393831. The reversal of 289393820 is 28393982.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21809 + ... + 32471.

It is an arithmetic number, because the mean of its divisors is an integer number (13436640).

Almost surely, 2^289393820 is an apocalyptic number.

289393820 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 289393820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322479360).

289393820 is an abundant number, since it is smaller than the sum of its proper divisors (355564900).

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

289393820 is a wasteful number, since it uses less digits than its factorization.

289393820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10754 (or 10752 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 289393820 is about 17011.5789978473. The cubic root of 289393820 is about 661.4490811764.

The spelling of 289393820 in words is "two hundred eighty-nine million, three hundred ninety-three thousand, eight hundred twenty".