360999828 has 144 divisors (see below), whose sum is σ = 1145499264. Its totient is φ = 97044480.

The previous prime is 360999827. The next prime is 360999839. The reversal of 360999828 is 828999063.

360999828 is a `hidden beast` number, since 3 + 609 + 9 + 9 + 8 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360999823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114108 + ... + 117228.

It is an arithmetic number, because the mean of its divisors is an integer number (7954856).

Almost surely, 2^360999828 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 360999828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572749632).

360999828 is an abundant number, since it is smaller than the sum of its proper divisors (784499436).

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

360999828 is a wasteful number, since it uses less digits than its factorization.

360999828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 360999828 is about 18999.9954736837. The cubic root of 360999828 is about 712.0366228059.

The spelling of 360999828 in words is "three hundred sixty million, nine hundred ninety-nine thousand, eight hundred twenty-eight".