7928442 has 40 divisors (see below), whose sum is σ = 17968500. Its totient is φ = 2612736.

The previous prime is 7928441. The next prime is 7928461. The reversal of 7928442 is 2448297.

It can be written as a sum of positive squares in 2 ways, for example, as 7733961 + 194481 = 2781^2 + 441^2 .

It is a d-powerful number, because it can be written as 7⁸ + 9³ + 2⁵ + 8⁷ + 4³ + 4⁸ + 2⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 7928397 and 7928406.

It is not an unprimeable number, because it can be changed into a prime (7928441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17434 + ... + 17882.

Almost surely, 2^7928442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7928442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8984250).

7928442 is an abundant number, since it is smaller than the sum of its proper divisors (10040058).

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

7928442 is a wasteful number, since it uses less digits than its factorization.

7928442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7928442 is about 2815.7489234660. The cubic root of 7928442 is about 199.4018964772.

The spelling of 7928442 in words is "seven million, nine hundred twenty-eight thousand, four hundred forty-two".