360828000 has 384 divisors, whose sum is σ = 1419949440. Its totient is φ = 88473600.

The previous prime is 360827953. The next prime is 360828023. The reversal of 360828000 is 828063.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1403872 + ... + 1404128.

It is an arithmetic number, because the mean of its divisors is an integer number (3697785).

Almost surely, 2^360828000 is an apocalyptic number.

360828000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709974720).

360828000 is an abundant number, since it is smaller than the sum of its proper divisors (1059121440).

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

360828000 is a wasteful number, since it uses less digits than its factorization.

360828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 360828000 is about 18995.4731449364. The cubic root of 360828000 is about 711.9236336056.

The spelling of 360828000 in words is "three hundred sixty million, eight hundred twenty-eight thousand".