368512128 has 192 divisors, whose sum is σ = 1160939520. Its totient is φ = 111697920.

The previous prime is 368512121. The next prime is 368512229. The reversal of 368512128 is 821215863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 368512092 and 368512101.

It is not an unprimeable number, because it can be changed into a prime (368512121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606801 + ... + 607407.

It is an arithmetic number, because the mean of its divisors is an integer number (6046560).

Almost surely, 2^368512128 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 368512128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580469760).

368512128 is an abundant number, since it is smaller than the sum of its proper divisors (792427392).

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

368512128 is a wasteful number, since it uses less digits than its factorization.

368512128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 660 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 368512128 is about 19196.6697111765. The cubic root of 368512128 is about 716.9418438735.

The spelling of 368512128 in words is "three hundred sixty-eight million, five hundred twelve thousand, one hundred twenty-eight".