363028668 has 48 divisors (see below), whose sum is σ = 894673920. Its totient is φ = 114251904.

The previous prime is 363028657. The next prime is 363028669. The reversal of 363028668 is 866820363.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363028669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68821 + ... + 73907.

It is an arithmetic number, because the mean of its divisors is an integer number (18639040).

Almost surely, 2^363028668 is an apocalyptic number.

363028668 is a gapful number since it is divisible by the number (38) 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 363028668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447336960).

363028668 is an abundant number, since it is smaller than the sum of its proper divisors (531645252).

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

363028668 is a wasteful number, since it uses less digits than its factorization.

363028668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5426 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 363028668 is about 19053.3112082913. The cubic root of 363028668 is about 713.3680274466.

The spelling of 363028668 in words is "three hundred sixty-three million, twenty-eight thousand, six hundred sixty-eight".