360828864 has 224 divisors, whose sum is σ = 1187988480. Its totient is φ = 106444800.

The previous prime is 360828857. The next prime is 360828869. The reversal of 360828864 is 468828063.

It is a happy number.

360828864 is a `hidden beast` number, since 360 + 8 + 288 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360828869) 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 31 ways as a sum of consecutive naturals, for example, 779097 + ... + 779559.

It is an arithmetic number, because the mean of its divisors is an integer number (5303520).

Almost surely, 2^360828864 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 360828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593994240).

360828864 is an abundant number, since it is smaller than the sum of its proper divisors (827159616).

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

360828864 is a wasteful number, since it uses less digits than its factorization.

360828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 360828864 is about 18995.4958871834. The cubic root of 360828864 is about 711.9242018371.

The spelling of 360828864 in words is "three hundred sixty million, eight hundred twenty-eight thousand, eight hundred sixty-four".