2966328 has 64 divisors (see below), whose sum is σ = 8524800. Its totient is φ = 954720.

The previous prime is 2966321. The next prime is 2966329. The reversal of 2966328 is 8236692.

2966328 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2966292 and 2966301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2966321) 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, 6475 + ... + 6917.

It is an arithmetic number, because the mean of its divisors is an integer number (133200).

2^2966328 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 2966328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262400).

2966328 is an abundant number, since it is smaller than the sum of its proper divisors (5558472).

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

2966328 is a wasteful number, since it uses less digits than its factorization.

2966328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2966328 is about 1722.3031092116. The cubic root of 2966328 is about 143.6833319085.

The spelling of 2966328 in words is "two million, nine hundred sixty-six thousand, three hundred twenty-eight".