7728365904 has 160 divisors (see below), whose sum is σ = 23938467840. Its totient is φ = 2101747200.

The previous prime is 7728365891. The next prime is 7728365921. The reversal of 7728365904 is 4095638277.

It is a super-2 number, since 2×7728365904² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 686239 + ... + 697409.

It is an arithmetic number, because the mean of its divisors is an integer number (149615424).

Almost surely, 2^7728365904 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 7728365904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11969233920).

7728365904 is an abundant number, since it is smaller than the sum of its proper divisors (16210101936).

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

7728365904 is a wasteful number, since it uses less digits than its factorization.

7728365904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11289 (or 11283 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The square root of 7728365904 is about 87911.1250297708. The cubic root of 7728365904 is about 1977.1026821484.

The spelling of 7728365904 in words is "seven billion, seven hundred twenty-eight million, three hundred sixty-five thousand, nine hundred four".