364382928 has 480 divisors, whose sum is σ = 1394196480. Its totient is φ = 88957440.

The previous prime is 364382911. The next prime is 364382929. The reversal of 364382928 is 829283463.

364382928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364382929) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11754273 + ... + 11754303.

It is an arithmetic number, because the mean of its divisors is an integer number (2904576).

Almost surely, 2^364382928 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 364382928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697098240).

364382928 is an abundant number, since it is smaller than the sum of its proper divisors (1029813552).

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

364382928 is a wasteful number, since it uses less digits than its factorization.

364382928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 364382928 is about 19088.8168308044. The cubic root of 364382928 is about 714.2539877413.

The spelling of 364382928 in words is "three hundred sixty-four million, three hundred eighty-two thousand, nine hundred twenty-eight".