385648128 has 200 divisors, whose sum is σ = 1220995512. Its totient is φ = 120766464.

The previous prime is 385648127. The next prime is 385648139. The reversal of 385648128 is 821846583.

385648128 is a `hidden beast` number, since 3 + 8 + 564 + 81 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385648121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 704751 + ... + 705297.

Almost surely, 2^385648128 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 385648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610497756).

385648128 is an abundant number, since it is smaller than the sum of its proper divisors (835347384).

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

385648128 is an equidigital number, since it uses as much as digits as its factorization.

385648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 569 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 385648128 is about 19637.9257560466. The cubic root of 385648128 is about 727.8866304966.

It can be divided in two parts, 3856 and 48128, that added together give a square (51984 = 228²).

The spelling of 385648128 in words is "three hundred eighty-five million, six hundred forty-eight thousand, one hundred twenty-eight".