360603828 has 72 divisors (see below), whose sum is σ = 990789800. Its totient is φ = 109921536.

The previous prime is 360603823. The next prime is 360603833. The reversal of 360603828 is 828306063.

It is an interprime number because it is at equal distance from previous prime (360603823) and next prime (360603833).

It can be written as a sum of positive squares in 4 ways, for example, as 17539344 + 343064484 = 4188^2 + 18522^2 .

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 = 360603792 and 360603801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360603823) 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, 47478 + ... + 54546.

Almost surely, 2^360603828 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 360603828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495394900).

360603828 is an abundant number, since it is smaller than the sum of its proper divisors (630185972).

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

360603828 is a wasteful number, since it uses less digits than its factorization.

360603828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7201 (or 7196 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 360603828 is about 18989.5715591479. The cubic root of 360603828 is about 711.7761705424.

The spelling of 360603828 in words is "three hundred sixty million, six hundred three thousand, eight hundred twenty-eight".