363828540 has 48 divisors (see below), whose sum is σ = 1019626272. Its totient is φ = 96934656.

The previous prime is 363828539. The next prime is 363828541. The reversal of 363828540 is 45828363.

It is an interprime number because it is at equal distance from previous prime (363828539) and next prime (363828541).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363828541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93922 + ... + 97718.

It is an arithmetic number, because the mean of its divisors is an integer number (21242214).

Almost surely, 2^363828540 is an apocalyptic number.

363828540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

363828540 is an abundant number, since it is smaller than the sum of its proper divisors (655797732).

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

363828540 is a wasteful number, since it uses less digits than its factorization.

363828540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 363828540 is about 19074.2900261058. The cubic root of 363828540 is about 713.8915715426.

The spelling of 363828540 in words is "three hundred sixty-three million, eight hundred twenty-eight thousand, five hundred forty".