363241728 has 108 divisors (see below), whose sum is σ = 1075873708. Its totient is φ = 117780480.

The previous prime is 363241667. The next prime is 363241759. The reversal of 363241728 is 827142363.

It is a happy number.

363241728 is a `hidden beast` number, since 3 + 632 + 4 + 17 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 339738624 + 23503104 = 18432^2 + 4848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 363241692 and 363241701.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83118 + ... + 87378.

Almost surely, 2^363241728 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 363241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537936854).

363241728 is an abundant number, since it is smaller than the sum of its proper divisors (712631980).

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

363241728 is a wasteful number, since it uses less digits than its factorization.

363241728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4303 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 363241728 is about 19058.9015423240. The cubic root of 363241728 is about 713.5075577196.

The spelling of 363241728 in words is "three hundred sixty-three million, two hundred forty-one thousand, seven hundred twenty-eight".