361628928 has 144 divisors (see below), whose sum is σ = 1081194240. Its totient is φ = 119218176.

The previous prime is 361628921. The next prime is 361628999. The reversal of 361628928 is 829826163.

361628928 is a `hidden beast` number, since 3 + 616 + 2 + 8 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361628921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780825 + ... + 781287.

Almost surely, 2^361628928 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 361628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540597120).

361628928 is an abundant number, since it is smaller than the sum of its proper divisors (719565312).

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

361628928 is a wasteful number, since it uses less digits than its factorization.

361628928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 581 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 361628928 is about 19016.5435345123. The cubic root of 361628928 is about 712.4499953826.

The spelling of 361628928 in words is "three hundred sixty-one million, six hundred twenty-eight thousand, nine hundred twenty-eight".