363081628 has 54 divisors (see below), whose sum is σ = 789167736. Its totient is φ = 143118144.

The previous prime is 363081601. The next prime is 363081679. The reversal of 363081628 is 826180363.

363081628 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×363081628² = 263656537182260768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1310626 + ... + 1310902.

Almost surely, 2^363081628 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 363081628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394583868).

363081628 is an abundant number, since it is smaller than the sum of its proper divisors (426086108).

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

363081628 is a wasteful number, since it uses less digits than its factorization.

363081628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 363081628 is about 19054.7009422872. The cubic root of 363081628 is about 713.4027153717.

It can be divided in two parts, 3630 and 81628, that added together give a palindrome (85258).

The spelling of 363081628 in words is "three hundred sixty-three million, eighty-one thousand, six hundred twenty-eight".