363341628 has 72 divisors (see below), whose sum is σ = 1015877408. Its totient is φ = 108770688.

The previous prime is 363341599. The next prime is 363341653. The reversal of 363341628 is 826143363.

363341628 is a `hidden beast` number, since 3 + 633 + 4 + 16 + 2 + 8 = 666.

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 = 363341592 and 363341601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6825 + ... + 27807.

Almost surely, 2^363341628 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 363341628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507938704).

363341628 is an abundant number, since it is smaller than the sum of its proper divisors (652535780).

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

363341628 is a wasteful number, since it uses less digits than its factorization.

363341628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21043 (or 21038 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 363341628 is about 19061.5221847574. The cubic root of 363341628 is about 713.5729621652.

The spelling of 363341628 in words is "three hundred sixty-three million, three hundred forty-one thousand, six hundred twenty-eight".