2628032 has 28 divisors (see below), whose sum is σ = 5690616. Its totient is φ = 1194240.

The previous prime is 2627993. The next prime is 2628053. The reversal of 2628032 is 2308262.

It is a junction number, because it is equal to n+sod(n) for n = 2627989 and 2628007.

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 3 ways as a sum of consecutive naturals, for example, 1163 + ... + 2570.

2^2628032 is an apocalyptic number.

2628032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2628032 is an abundant number, since it is smaller than the sum of its proper divisors (3062584).

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

2628032 is a wasteful number, since it uses less digits than its factorization.

2628032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2628032 is about 1621.1206000788. The cubic root of 2628032 is about 137.9992998634. Note that the first 3 decimals are identical.

The spelling of 2628032 in words is "two million, six hundred twenty-eight thousand, thirty-two".