4028440900 has 81 divisors (see below), whose sum is σ = 9625345527. Its totient is φ = 1462348800.

The previous prime is 4028440879. The next prime is 4028440901. The reversal of 4028440900 is 90448204.

The square root of 4028440900 is 63470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1137443076 + 2890997824 = 33726^2 + 53768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4028440901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6981412 + ... + 6981988.

Almost surely, 2^4028440900 is an apocalyptic number.

4028440900 is the 63470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4028440900

4028440900 is an abundant number, since it is smaller than the sum of its proper divisors (5596904627).

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

4028440900 is a wasteful number, since it uses less digits than its factorization.

4028440900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The cubic root of 4028440900 is about 1591.1544297357.

Multiplying 4028440900 by its product of nonzero digits (9216), we get a square (37126111334400 = 6093120²).

The spelling of 4028440900 in words is "four billion, twenty-eight million, four hundred forty thousand, nine hundred".