363028848 has 240 divisors, whose sum is σ = 1215922176. Its totient is φ = 92413440.

The previous prime is 363028837. The next prime is 363028871. The reversal of 363028848 is 848820363.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947665 + ... + 948047.

Almost surely, 2^363028848 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 363028848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607961088).

363028848 is an abundant number, since it is smaller than the sum of its proper divisors (852893328).

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

363028848 is a wasteful number, since it uses less digits than its factorization.

363028848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 363028848 is about 19053.3159318792. The cubic root of 363028848 is about 713.3681453493.

It can be divided in two parts, 36302 and 8848, that added together give a triangular number (45150 = T₃₀₀).

The spelling of 363028848 in words is "three hundred sixty-three million, twenty-eight thousand, eight hundred forty-eight".