362201728 has 192 divisors, whose sum is σ = 920937600. Its totient is φ = 140894208.

The previous prime is 362201717. The next prime is 362201747. The reversal of 362201728 is 827102263.

It is a self number, because there is not a number n which added to its sum of digits gives 362201728.

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 23 ways as a sum of consecutive naturals, for example, 4584793 + ... + 4584871.

It is an arithmetic number, because the mean of its divisors is an integer number (4796550).

Almost surely, 2^362201728 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 362201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460468800).

362201728 is an abundant number, since it is smaller than the sum of its proper divisors (558735872).

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

362201728 is a wasteful number, since it uses less digits than its factorization.

362201728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 362201728 is about 19031.5981462409. The cubic root of 362201728 is about 712.8259572693.

The spelling of 362201728 in words is "three hundred sixty-two million, two hundred one thousand, seven hundred twenty-eight".