15071257728 has 72 divisors (see below), whose sum is σ = 43381107705. Its totient is φ = 5022363648.

The previous prime is 15071257711. The next prime is 15071257753. The reversal of 15071257728 is 82775217051.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

15071257728 is a `hidden beast` number, since 1 + 5 + 0 + 71 + 2 + 577 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8595514944 + 6475742784 = 92712^2 + 80472^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=86808.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4164976 + ... + 4168592.

Almost surely, 2^15071257728 is an apocalyptic number.

15071257728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

15071257728 is an abundant number, since it is smaller than the sum of its proper divisors (28309849977).

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

15071257728 is an frugal number, since it uses more digits than its factorization.

15071257728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7254 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 15071257728 in words is "fifteen billion, seventy-one million, two hundred fifty-seven thousand, seven hundred twenty-eight".