8119657728 has 540 divisors, whose sum is σ = 30052833888. Its totient is φ = 2134978560.

The previous prime is 8119657697. The next prime is 8119657739. The reversal of 8119657728 is 8277569118.

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

Its product of digits (1693440) is a multiple of the sum of its prime factors (392).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24530523 + ... + 24530853.

Almost surely, 2^8119657728 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 8119657728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15026416944).

8119657728 is an abundant number, since it is smaller than the sum of its proper divisors (21933176160).

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

8119657728 is a wasteful number, since it uses less digits than its factorization.

8119657728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 356 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The square root of 8119657728 is about 90109.1434206318. The cubic root of 8119657728 is about 2009.9221711901.

The spelling of 8119657728 in words is "eight billion, one hundred nineteen million, six hundred fifty-seven thousand, seven hundred twenty-eight".