387059328 has 96 divisors (see below), whose sum is σ = 1118229060. Its totient is φ = 128507904.

The previous prime is 387059291. The next prime is 387059329. The reversal of 387059328 is 823950783.

387059328 is a `hidden beast` number, since 38 + 7 + 0 + 593 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 384473664 + 2585664 = 19608^2 + 1608^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (387059329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 387726 + ... + 388722.

Almost surely, 2^387059328 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 387059328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559114530).

387059328 is an abundant number, since it is smaller than the sum of its proper divisors (731169732).

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

387059328 is a wasteful number, since it uses less digits than its factorization.

387059328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 387059328 is about 19673.8234209825. The cubic root of 387059328 is about 728.7734001923.

The spelling of 387059328 in words is "three hundred eighty-seven million, fifty-nine thousand, three hundred twenty-eight".