364987728 has 160 divisors (see below), whose sum is σ = 1207422720. Its totient is φ = 103403520.

The previous prime is 364987717. The next prime is 364987751. The reversal of 364987728 is 827789463.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 413848 + ... + 414728.

It is an arithmetic number, because the mean of its divisors is an integer number (7546392).

Almost surely, 2^364987728 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 364987728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603711360).

364987728 is an abundant number, since it is smaller than the sum of its proper divisors (842434992).

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

364987728 is a wasteful number, since it uses less digits than its factorization.

364987728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1030 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 364987728 is about 19104.6519989242. The cubic root of 364987728 is about 714.6489404127.

The spelling of 364987728 in words is "three hundred sixty-four million, nine hundred eighty-seven thousand, seven hundred twenty-eight".