363673728 has 144 divisors (see below), whose sum is σ = 1150735950. Its totient is φ = 110161920.

The previous prime is 363673711. The next prime is 363673781. The reversal of 363673728 is 827376363.

363673728 is a `hidden beast` number, since 3 + 636 + 7 + 3 + 7 + 2 + 8 = 666.

363673728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 312865344 + 50808384 = 17688^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138088 + ... + 140696.

Almost surely, 2^363673728 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 363673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575367975).

363673728 is an abundant number, since it is smaller than the sum of its proper divisors (787062222).

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

363673728 is a wasteful number, since it uses less digits than its factorization.

363673728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2625 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 363673728 is about 19070.2314616263. The cubic root of 363673728 is about 713.7903016227.

The spelling of 363673728 in words is "three hundred sixty-three million, six hundred seventy-three thousand, seven hundred twenty-eight".