2272728 has 32 divisors (see below), whose sum is σ = 5718960. Its totient is φ = 752640.

The previous prime is 2272727. The next prime is 2272729. The reversal of 2272728 is 8272722.

2272728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2272727) and next prime (2272729).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁵ + 2⁷ + 7⁵ + 2¹³ + 7⁶ + 2²¹ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 2272695 and 2272704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6576 + ... + 6912.

2^2272728 is an apocalyptic number.

It is an amenable number.

2272728 is an abundant number, since it is smaller than the sum of its proper divisors (3446232).

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

2272728 is a wasteful number, since it uses less digits than its factorization.

2272728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 623 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 2272728 is about 1507.5569640979. The cubic root of 2272728 is about 131.4768087407.

The spelling of 2272728 in words is "two million, two hundred seventy-two thousand, seven hundred twenty-eight".