387484128 has 384 divisors, whose sum is σ = 1323786240. Its totient is φ = 109486080.

The previous prime is 387484117. The next prime is 387484147. The reversal of 387484128 is 821484783.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10472526 + ... + 10472562.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2^387484128 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 387484128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661893120).

387484128 is an abundant number, since it is smaller than the sum of its proper divisors (936302112).

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

387484128 is a wasteful number, since it uses less digits than its factorization.

387484128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 387484128 is about 19684.6165316980. The cubic root of 387484128 is about 729.0399138166.

The spelling of 387484128 in words is "three hundred eighty-seven million, four hundred eighty-four thousand, one hundred twenty-eight".