7828721748 has 72 divisors (see below), whose sum is σ = 20997168192. Its totient is φ = 2450932992.

The previous prime is 7828721737. The next prime is 7828721749. The reversal of 7828721748 is 8471278287.

It is a super-2 number, since 2×7828721748² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7828721694 and 7828721703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7828721749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284911 + ... + 311177.

It is an arithmetic number, because the mean of its divisors is an integer number (291627336).

Almost surely, 2^7828721748 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 7828721748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10498584096).

7828721748 is an abundant number, since it is smaller than the sum of its proper divisors (13168446444).

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

7828721748 is a wasteful number, since it uses less digits than its factorization.

7828721748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26781 (or 26776 counting only the distinct ones).

The product of its digits is 2809856, while the sum is 54.

The square root of 7828721748 is about 88480.0641274632. The cubic root of 7828721748 is about 1985.6237212422.

The spelling of 7828721748 in words is "seven billion, eight hundred twenty-eight million, seven hundred twenty-one thousand, seven hundred forty-eight".