1972928 has 28 divisors (see below), whose sum is σ = 4053840. Its totient is φ = 951552.

The previous prime is 1972921. The next prime is 1972931. The reversal of 1972928 is 8292791.

It is a junction number, because it is equal to n+sod(n) for n = 1972891 and 1972900.

It is not an unprimeable number, because it can be changed into a prime (1972921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1325 + ... + 2387.

It is an arithmetic number, because the mean of its divisors is an integer number (144780).

2^1972928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026920).

1972928 is an abundant number, since it is smaller than the sum of its proper divisors (2080912).

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

1972928 is a wasteful number, since it uses less digits than its factorization.

1972928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1094 counting only the distinct ones).

The product of its digits is 18144, while the sum is 38.

The square root of 1972928 is about 1404.6095542890. The cubic root of 1972928 is about 125.4210441820.

It can be divided in two parts, 197 and 2928, that added together give a 5-th power (3125 = 5⁵).

The spelling of 1972928 in words is "one million, nine hundred seventy-two thousand, nine hundred twenty-eight".