388000728216 has 192 divisors, whose sum is σ = 1155572308800. Its totient is φ = 117103878144.

The previous prime is 388000728191. The next prime is 388000728223. The reversal of 388000728216 is 612827000883.

It is a super-2 number, since 2×388000728216² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3982501 + ... + 4078763.

It is an arithmetic number, because the mean of its divisors is an integer number (6018605775).

Almost surely, 2^388000728216 is an apocalyptic number.

388000728216 is a gapful number since it is divisible by the number (36) 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 388000728216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577786154400).

388000728216 is an abundant number, since it is smaller than the sum of its proper divisors (767571580584).

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

388000728216 is a wasteful number, since it uses less digits than its factorization.

388000728216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96418 (or 96411 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 388000728216 in words is "three hundred eighty-eight billion, seven hundred twenty-eight thousand, two hundred sixteen".