7828744 has 64 divisors (see below), whose sum is σ = 18662400. Its totient is φ = 2990400.

The previous prime is 7828729. The next prime is 7828747. The reversal of 7828744 is 4478287.

It is a happy number.

7828744 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7828744² = 122578465235072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

7828744 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 7828697 and 7828706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7828747) 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, 43647 + ... + 43825.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 2^7828744 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 7828744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331200).

7828744 is an abundant number, since it is smaller than the sum of its proper divisors (10833656).

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

7828744 is a wasteful number, since it uses less digits than its factorization.

7828744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its digits is 100352, while the sum is 40.

The square root of 7828744 is about 2797.9892780352. The cubic root of 7828744 is about 198.5625602522.

The spelling of 7828744 in words is "seven million, eight hundred twenty-eight thousand, seven hundred forty-four".