2632728 has 32 divisors (see below), whose sum is σ = 7522560. Its totient is φ = 752160.

The previous prime is 2632727. The next prime is 2632759. The reversal of 2632728 is 8272362.

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 = 2632695 and 2632704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2632723) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7668 + ... + 8003.

It is an arithmetic number, because the mean of its divisors is an integer number (235080).

2^2632728 is an apocalyptic number.

2632728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2632728 is an abundant number, since it is smaller than the sum of its proper divisors (4889832).

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

2632728 is a wasteful number, since it uses less digits than its factorization.

2632728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15687 (or 15683 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2632728 is about 1622.5683344624. The cubic root of 2632728 is about 138.0814474045.

The spelling of 2632728 in words is "two million, six hundred thirty-two thousand, seven hundred twenty-eight".