365833728 has 240 divisors, whose sum is σ = 1179674496. Its totient is φ = 108380160.

The previous prime is 365833717. The next prime is 365833739. The reversal of 365833728 is 827338563.

365833728 is a `hidden beast` number, since 36 + 583 + 37 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (365833717) and next prime (365833739).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1856926 + ... + 1857122.

Almost surely, 2^365833728 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 365833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589837248).

365833728 is an abundant number, since it is smaller than the sum of its proper divisors (813840768).

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

365833728 is a wasteful number, since it uses less digits than its factorization.

365833728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 365833728 is about 19126.7803877182. The cubic root of 365833728 is about 715.2006726417.

The spelling of 365833728 in words is "three hundred sixty-five million, eight hundred thirty-three thousand, seven hundred twenty-eight".