363883428 has 60 divisors (see below), whose sum is σ = 956259612. Its totient is φ = 120657600.

The previous prime is 363883423. The next prime is 363883441. The reversal of 363883428 is 824388363.

363883428 is a `hidden beast` number, since 3 + 638 + 8 + 3 + 4 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 337750884 + 26132544 = 18378^2 + 5112^2 .

It is a super-2 number, since 2×363883428² = 264822298346062368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363883423) 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, 60978 + ... + 66678.

Almost surely, 2^363883428 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 363883428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478129806).

363883428 is an abundant number, since it is smaller than the sum of its proper divisors (592376184).

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

363883428 is a wasteful number, since it uses less digits than its factorization.

363883428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5914 (or 5903 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 363883428 is about 19075.7287672057. The cubic root of 363883428 is about 713.9274695055.

The spelling of 363883428 in words is "three hundred sixty-three million, eight hundred eighty-three thousand, four hundred twenty-eight".