6385420728 has 128 divisors (see below), whose sum is σ = 18964108800. Its totient is φ = 1983702528.

The previous prime is 6385420693. The next prime is 6385420753. The reversal of 6385420728 is 8270245836.

6385420728 is a `hidden beast` number, since 6 + 38 + 542 + 0 + 72 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369775 + ... + 386657.

It is an arithmetic number, because the mean of its divisors is an integer number (148157100).

Almost surely, 2^6385420728 is an apocalyptic number.

6385420728 is a gapful number since it is divisible by the number (68) 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 6385420728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9482054400).

6385420728 is an abundant number, since it is smaller than the sum of its proper divisors (12578688072).

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

6385420728 is a wasteful number, since it uses less digits than its factorization.

6385420728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17018 (or 17008 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 6385420728 is about 79908.8275974563. The cubic root of 6385420728 is about 1855.2246493548.

The spelling of 6385420728 in words is "six billion, three hundred eighty-five million, four hundred twenty thousand, seven hundred twenty-eight".