389600288 has 192 divisors, whose sum is σ = 1034643456. Its totient is φ = 139776000.

The previous prime is 389600287. The next prime is 389600293. The reversal of 389600288 is 882006983.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (389600287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2973983 + ... + 2974113.

It is an arithmetic number, because the mean of its divisors is an integer number (5388768).

Almost surely, 2^389600288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389600288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517321728).

389600288 is an abundant number, since it is smaller than the sum of its proper divisors (645043168).

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

389600288 is a wasteful number, since it uses less digits than its factorization.

389600288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 389600288 is about 19738.2949618248. The cubic root of 389600288 is about 730.3646692421.

The spelling of 389600288 in words is "three hundred eighty-nine million, six hundred thousand, two hundred eighty-eight".