385298857728 has 144 divisors (see below), whose sum is σ = 1150047279360. Its totient is φ = 127232400384.

The previous prime is 385298857663. The next prime is 385298857729. The reversal of 385298857728 is 827758892583.

385298857728 is a `hidden beast` number, since 3 + 8 + 5 + 29 + 8 + 8 + 577 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385298857729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479101 + ... + 1000067.

It is an arithmetic number, because the mean of its divisors is an integer number (7986439440).

Almost surely, 2^385298857728 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 385298857728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575023639680).

385298857728 is an abundant number, since it is smaller than the sum of its proper divisors (764748421632).

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

385298857728 is a wasteful number, since it uses less digits than its factorization.

385298857728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521099 (or 521079 counting only the distinct ones).

The product of its digits is 541900800, while the sum is 72.

The spelling of 385298857728 in words is "three hundred eighty-five billion, two hundred ninety-eight million, eight hundred fifty-seven thousand, seven hundred twenty-eight".