361963728 has 200 divisors, whose sum is σ = 1268258112. Its totient is φ = 97293312.

The previous prime is 361963717. The next prime is 361963769. The reversal of 361963728 is 827369163.

361963728 is a `hidden beast` number, since 3 + 6 + 1 + 9 + 637 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153051 + ... + 155397.

Almost surely, 2^361963728 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 361963728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634129056).

361963728 is an abundant number, since it is smaller than the sum of its proper divisors (906294384).

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

361963728 is a wasteful number, since it uses less digits than its factorization.

361963728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2376 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 361963728 is about 19025.3443595642. The cubic root of 361963728 is about 712.6697922215.

The spelling of 361963728 in words is "three hundred sixty-one million, nine hundred sixty-three thousand, seven hundred twenty-eight".