32728095125 has 36 divisors (see below), whose sum is σ = 44925914124. Its totient is φ = 23786070000.

The previous prime is 32728095073. The next prime is 32728095151. The reversal of 32728095125 is 52159082723.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 1047299044 + 31680796081 = 32362^2 + 177991^2 .

It is not a de Polignac number, because 32728095125 - 2⁸ = 32728094869 is a prime.

It is a super-2 number, since 2×32728095125² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22248140 + ... + 22249610.

It is an arithmetic number, because the mean of its divisors is an integer number (1247942059).

Almost surely, 2^32728095125 is an apocalyptic number.

It is an amenable number.

32728095125 is a deficient number, since it is larger than the sum of its proper divisors (12197818999).

32728095125 is an frugal number, since it uses more digits than its factorization.

32728095125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 32728095125 in words is "thirty-two billion, seven hundred twenty-eight million, ninety-five thousand, one hundred twenty-five".