364728 has 64 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 95616.

The previous prime is 364717. The next prime is 364739. The reversal of 364728 is 827463.

364728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (364717) and next prime (364739).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is one of the 548 Lynch-Bell numbers.

Its product of digits (8064) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 364695 and 364704.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364728.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2101 + ... + 2267.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2³⁶⁴⁷²⁸ 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 364728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

364728 is an abundant number, since it is smaller than the sum of its proper divisors (764232).

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

364728 is a wasteful number, since it uses less digits than its factorization.

364728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 364728 is about 603.9271479243. The cubic root of 364728 is about 71.4479383675.

The spelling of 364728 in words is "three hundred sixty-four thousand, seven hundred twenty-eight".