365228352 has 140 divisors (see below), whose sum is σ = 1106424000. Its totient is φ = 119073024.

The previous prime is 365228341. The next prime is 365228359. The reversal of 365228352 is 253822563.

365228352 is a `hidden beast` number, since 3 + 6 + 522 + 83 + 52 = 666.

It is a super-3 number, since 3×365228352³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365228359) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 242899 + ... + 244397.

Almost surely, 2^365228352 is an apocalyptic number.

365228352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365228352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553212000).

365228352 is an abundant number, since it is smaller than the sum of its proper divisors (741195648).

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

365228352 is a wasteful number, since it uses less digits than its factorization.

365228352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1551 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 365228352 is about 19110.9484850962. The cubic root of 365228352 is about 714.8059538296.

The spelling of 365228352 in words is "three hundred sixty-five million, two hundred twenty-eight thousand, three hundred fifty-two".