362428000 has 96 divisors (see below), whose sum is σ = 971556768. Its totient is φ = 131776000.

The previous prime is 362427977. The next prime is 362428009. The reversal of 362428000 is 824263.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (362428009) 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 15 ways as a sum of consecutive naturals, for example, 39882 + ... + 48118.

It is an arithmetic number, because the mean of its divisors is an integer number (10120383).

Almost surely, 2^362428000 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 362428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485778384).

362428000 is an abundant number, since it is smaller than the sum of its proper divisors (609128768).

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

362428000 is a wasteful number, since it uses less digits than its factorization.

362428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8273 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 362428000 is about 19037.5418581286. The cubic root of 362428000 is about 712.9743634999.

The spelling of 362428000 in words is "three hundred sixty-two million, four hundred twenty-eight thousand".