387916128 has 120 divisors (see below), whose sum is σ = 1152719568. Its totient is φ = 127961856.

The previous prime is 387916127. The next prime is 387916147. The reversal of 387916128 is 821619783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387916121) 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 19 ways as a sum of consecutive naturals, for example, 266250 + ... + 267702.

Almost surely, 2^387916128 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 387916128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576359784).

387916128 is an abundant number, since it is smaller than the sum of its proper divisors (764803440).

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

387916128 is a wasteful number, since it uses less digits than its factorization.

387916128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1561 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 387916128 is about 19695.5865106881. The cubic root of 387916128 is about 729.3107449294.

The spelling of 387916128 in words is "three hundred eighty-seven million, nine hundred sixteen thousand, one hundred twenty-eight".