289052820 has 192 divisors, whose sum is σ = 1050255360. Its totient is φ = 64623744.

The previous prime is 289052791. The next prime is 289052821. The reversal of 289052820 is 28250982.

289052820 is a `hidden beast` number, since 28 + 90 + 528 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289052821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176847 + ... + 178473.

It is an arithmetic number, because the mean of its divisors is an integer number (5470080).

Almost surely, 2^289052820 is an apocalyptic number.

289052820 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 289052820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525127680).

289052820 is an abundant number, since it is smaller than the sum of its proper divisors (761202540).

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

289052820 is a wasteful number, since it uses less digits than its factorization.

289052820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 289052820 is about 17001.5534584343. The cubic root of 289052820 is about 661.1891783829.

The spelling of 289052820 in words is "two hundred eighty-nine million, fifty-two thousand, eight hundred twenty".