368080128 has 108 divisors (see below), whose sum is σ = 1142994580. Its totient is φ = 113246208.

The previous prime is 368080121. The next prime is 368080133. The reversal of 368080128 is 821080863.

368080128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 172975104 + 195105024 = 13152^2 + 13968^2 .

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 = 368080092 and 368080101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368080121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23808 + ... + 36096.

Almost surely, 2^368080128 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 368080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571497290).

368080128 is an abundant number, since it is smaller than the sum of its proper divisors (774914452).

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

368080128 is a wasteful number, since it uses less digits than its factorization.

368080128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12324 (or 12307 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 368080128 is about 19185.4144599485. The cubic root of 368080128 is about 716.6615817439.

The spelling of 368080128 in words is "three hundred sixty-eight million, eighty thousand, one hundred twenty-eight".