365828064 has 96 divisors (see below), whose sum is σ = 1145249280. Its totient is φ = 99973632.

The previous prime is 365828063. The next prime is 365828077. The reversal of 365828064 is 460828563.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365828063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3622 + ... + 27290.

It is an arithmetic number, because the mean of its divisors is an integer number (11929680).

Almost surely, 2^365828064 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 365828064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572624640).

365828064 is an abundant number, since it is smaller than the sum of its proper divisors (779421216).

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

365828064 is a wasteful number, since it uses less digits than its factorization.

365828064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23712 (or 23704 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 365828064 is about 19126.6323224973. The cubic root of 365828064 is about 715.1969816047.

The spelling of 365828064 in words is "three hundred sixty-five million, eight hundred twenty-eight thousand, sixty-four".