331628544 has 180 divisors, whose sum is σ = 1037665356. Its totient is φ = 101449728.

The previous prime is 331628533. The next prime is 331628573. The reversal of 331628544 is 445826133.

331628544 is a `hidden beast` number, since 331 + 6 + 285 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 180633600 + 150994944 = 13440^2 + 12288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 331628499 and 331628508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1916842 + ... + 1917014.

Almost surely, 2^331628544 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 331628544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518832678).

331628544 is an abundant number, since it is smaller than the sum of its proper divisors (706036812).

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

331628544 is a wasteful number, since it uses less digits than its factorization.

331628544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 191 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 331628544 is about 18210.6711573187. The cubic root of 331628544 is about 692.1772185803.

The spelling of 331628544 in words is "three hundred thirty-one million, six hundred twenty-eight thousand, five hundred forty-four".