385084728 has 192 divisors, whose sum is σ = 1257984000. Its totient is φ = 106263360.

The previous prime is 385084727. The next prime is 385084741. The reversal of 385084728 is 827480583.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385084727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765325 + ... + 765827.

It is an arithmetic number, because the mean of its divisors is an integer number (6552000).

Almost surely, 2^385084728 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 385084728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992000).

385084728 is an abundant number, since it is smaller than the sum of its proper divisors (872899272).

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

385084728 is a wasteful number, since it uses less digits than its factorization.

385084728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 385084728 is about 19623.5758209354. The cubic root of 385084728 is about 727.5319970339.

The spelling of 385084728 in words is "three hundred eighty-five million, eighty-four thousand, seven hundred twenty-eight".