363428208 has 400 divisors, whose sum is σ = 1293104736. Its totient is φ = 97044480.

The previous prime is 363428201. The next prime is 363428209. The reversal of 363428208 is 802824363.

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 (363428201) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6857110 + ... + 6857162.

Almost surely, 2^363428208 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 363428208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646552368).

363428208 is an abundant number, since it is smaller than the sum of its proper divisors (929676528).

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

363428208 is a wasteful number, since it uses less digits than its factorization.

363428208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 363428208 is about 19063.7931167960. The cubic root of 363428208 is about 713.6296363214.

The spelling of 363428208 in words is "three hundred sixty-three million, four hundred twenty-eight thousand, two hundred eight".