289377792 has 240 divisors, whose sum is σ = 946970640. Its totient is φ = 87183360.

The previous prime is 289377773. The next prime is 289377793. The reversal of 289377792 is 297773982.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2667168) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289377793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1672618 + ... + 1672790.

It is an arithmetic number, because the mean of its divisors is an integer number (3945711).

Almost surely, 2^289377792 is an apocalyptic number.

289377792 is a gapful number since it is divisible by the number (22) 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 289377792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473485320).

289377792 is an abundant number, since it is smaller than the sum of its proper divisors (657592848).

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

289377792 is a wasteful number, since it uses less digits than its factorization.

289377792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 189 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 289377792 is about 17011.1079004279. The cubic root of 289377792 is about 661.4368695570.

The spelling of 289377792 in words is "two hundred eighty-nine million, three hundred seventy-seven thousand, seven hundred ninety-two".