385628160 has 96 divisors (see below), whose sum is σ = 1233807120. Its totient is φ = 102825984.

The previous prime is 385628147. The next prime is 385628183. The reversal of 385628160 is 61826583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24444 + ... + 36996.

Almost surely, 2^385628160 is an apocalyptic number.

385628160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616903560).

385628160 is an abundant number, since it is smaller than the sum of its proper divisors (848178960).

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

385628160 is a wasteful number, since it uses less digits than its factorization.

385628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12583 (or 12563 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 385628160 is about 19637.4173454658. The cubic root of 385628160 is about 727.8740674976.

The spelling of 385628160 in words is "three hundred eighty-five million, six hundred twenty-eight thousand, one hundred sixty".