368022528 has 308 divisors, whose sum is σ = 1208180340. Its totient is φ = 111476736.

The previous prime is 368022521. The next prime is 368022553. The reversal of 368022528 is 825220863.

368022528 is a `hidden beast` number, since 36 + 80 + 22 + 528 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 241864704 + 126157824 = 15552^2 + 11232^2 .

It is a super-2 number, since 2×368022528² = 270881162231021568, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 368022492 and 368022501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368022521) 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 27 ways as a sum of consecutive naturals, for example, 12690418 + ... + 12690446.

Almost surely, 2^368022528 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 368022528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604090170).

368022528 is an abundant number, since it is smaller than the sum of its proper divisors (840157812).

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

368022528 is an equidigital number, since it uses as much as digits as its factorization.

368022528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 368022528 is about 19183.9132608548. The cubic root of 368022528 is about 716.6241968944.

The spelling of 368022528 in words is "three hundred sixty-eight million, twenty-two thousand, five hundred twenty-eight".