389935728 has 360 divisors, whose sum is σ = 1422788400. Its totient is φ = 101896704.

The previous prime is 389935723. The next prime is 389935751. The reversal of 389935728 is 827539983.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389935723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3577338 + ... + 3577446.

It is an arithmetic number, because the mean of its divisors is an integer number (3952190).

Almost surely, 2^389935728 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 389935728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711394200).

389935728 is an abundant number, since it is smaller than the sum of its proper divisors (1032852672).

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

389935728 is a wasteful number, since it uses less digits than its factorization.

389935728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 134 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 389935728 is about 19746.7903214674. The cubic root of 389935728 is about 730.5742201193.

The spelling of 389935728 in words is "three hundred eighty-nine million, nine hundred thirty-five thousand, seven hundred twenty-eight".