2028272 has 20 divisors (see below), whose sum is σ = 3969240. Its totient is φ = 1003968.

The previous prime is 2028263. The next prime is 2028277. The reversal of 2028272 is 2728202.

It is a happy number.

It is a super-2 number, since 2×2028272² = 8227774611968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1163 + ... + 2325.

It is an arithmetic number, because the mean of its divisors is an integer number (198462).

2^2028272 is an apocalyptic number.

2028272 is the 1163-rd pentagonal number.

It is an amenable number.

2028272 is a deficient number, since it is larger than the sum of its proper divisors (1940968).

2028272 is a wasteful number, since it uses less digits than its factorization.

2028272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2028272 is about 1424.1741466548. The cubic root of 2028272 is about 126.5830041565.

The spelling of 2028272 in words is "two million, twenty-eight thousand, two hundred seventy-two".