7728834456 has 128 divisors (see below), whose sum is σ = 24572736000. Its totient is φ = 2204931456.

The previous prime is 7728834431. The next prime is 7728834467. The reversal of 7728834456 is 6544388277.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1113910 + ... + 1120826.

It is an arithmetic number, because the mean of its divisors is an integer number (191974500).

Almost surely, 2^7728834456 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 7728834456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12286368000).

7728834456 is an abundant number, since it is smaller than the sum of its proper divisors (16843901544).

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

7728834456 is a wasteful number, since it uses less digits than its factorization.

7728834456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7678 (or 7668 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The square root of 7728834456 is about 87913.7899080685. The cubic root of 7728834456 is about 1977.1426369809.

The spelling of 7728834456 in words is "seven billion, seven hundred twenty-eight million, eight hundred thirty-four thousand, four hundred fifty-six".