360399728 has 80 divisors (see below), whose sum is σ = 801511200. Its totient is φ = 155516928.

The previous prime is 360399709. The next prime is 360399737. The reversal of 360399728 is 827993063.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802448 + ... + 802896.

It is an arithmetic number, because the mean of its divisors is an integer number (10018890).

Almost surely, 2^360399728 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 360399728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400755600).

360399728 is an abundant number, since it is smaller than the sum of its proper divisors (441111472).

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

360399728 is a wasteful number, since it uses less digits than its factorization.

360399728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 47.

The square root of 360399728 is about 18984.1967962830. The cubic root of 360399728 is about 711.6418579240.

The spelling of 360399728 in words is "three hundred sixty million, three hundred ninety-nine thousand, seven hundred twenty-eight".