387365328 has 240 divisors, whose sum is σ = 1318693376. Its totient is φ = 107775360.

The previous prime is 387365323. The next prime is 387365389. The reversal of 387365328 is 823563783.

387365328 is a `hidden beast` number, since 3 + 87 + 36 + 532 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387365323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1170123 + ... + 1170453.

Almost surely, 2^387365328 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 387365328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659346688).

387365328 is an abundant number, since it is smaller than the sum of its proper divisors (931328048).

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

387365328 is a wasteful number, since it uses less digits than its factorization.

387365328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 386 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 387365328 is about 19681.5987155515. The cubic root of 387365328 is about 728.9653999734.

The spelling of 387365328 in words is "three hundred eighty-seven million, three hundred sixty-five thousand, three hundred twenty-eight".