385693728 has 144 divisors (see below), whose sum is σ = 1188298944. Its totient is φ = 107274240.

The previous prime is 385693727. The next prime is 385693751. The reversal of 385693728 is 827396583.

It is not an unprimeable number, because it can be changed into a prime (385693727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3976176 + ... + 3976272.

It is an arithmetic number, because the mean of its divisors is an integer number (8252076).

Almost surely, 2^385693728 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 385693728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594149472).

385693728 is an abundant number, since it is smaller than the sum of its proper divisors (802605216).

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

385693728 is an equidigital number, since it uses as much as digits as its factorization.

385693728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 170 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 385693728 is about 19639.0867404775. The cubic root of 385693728 is about 727.9153184116.

The spelling of 385693728 in words is "three hundred eighty-five million, six hundred ninety-three thousand, seven hundred twenty-eight".