2028972 has 48 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 581760.

The previous prime is 2028947. The next prime is 2028973. The reversal of 2028972 is 2798202.

It is not an unprimeable number, because it can be changed into a prime (2028973) 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, 2104 + ... + 2912.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

2^2028972 is an apocalyptic number.

2028972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2028972 is an abundant number, since it is smaller than the sum of its proper divisors (3414228).

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

2028972 is a wasteful number, since it uses less digits than its factorization.

2028972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2028972 is about 1424.4198819168. The cubic root of 2028972 is about 126.5975646480.

It can be divided in two parts, 2028 and 972, that multiplied together give a square (1971216 = 1404²).

The spelling of 2028972 in words is "two million, twenty-eight thousand, nine hundred seventy-two".