363063528 has 96 divisors (see below), whose sum is σ = 1042259400. Its totient is φ = 113971200.

The previous prime is 363063527. The next prime is 363063551. The reversal of 363063528 is 825360363.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 324648324 + 38415204 = 18018^2 + 6198^2 .

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 = 363063492 and 363063501.

It is not an unprimeable number, because it can be changed into a prime (363063523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83488 + ... + 87728.

Almost surely, 2^363063528 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 363063528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521129700).

363063528 is an abundant number, since it is smaller than the sum of its proper divisors (679195872).

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

363063528 is a wasteful number, since it uses less digits than its factorization.

363063528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 363063528 is about 19054.2259879534. The cubic root of 363063528 is about 713.3908605501.

The spelling of 363063528 in words is "three hundred sixty-three million, sixty-three thousand, five hundred twenty-eight".