389320128 has 224 divisors, whose sum is σ = 1256385600. Its totient is φ = 117669888.

The previous prime is 389320123. The next prime is 389320153. The reversal of 389320128 is 821023983.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 389320092 and 389320101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389320123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851676 + ... + 852132.

Almost surely, 2^389320128 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 389320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628192800).

389320128 is an abundant number, since it is smaller than the sum of its proper divisors (867065472).

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

389320128 is a wasteful number, since it uses less digits than its factorization.

389320128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 389320128 is about 19731.1968212777. The cubic root of 389320128 is about 730.1895598299.

The spelling of 389320128 in words is "three hundred eighty-nine million, three hundred twenty thousand, one hundred twenty-eight".