1480171728 has 80 divisors (see below), whose sum is σ = 4389342080. Its totient is φ = 421037568.

The previous prime is 1480171723. The next prime is 1480171733. The reversal of 1480171728 is 8271710841.

It is a Cunningham number, because it is equal to 38473²-1.

It is an interprime number because it is at equal distance from previous prime (1480171723) and next prime (1480171733).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480171723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67326 + ... + 86562.

It is an arithmetic number, because the mean of its divisors is an integer number (54866776).

Almost surely, 2^1480171728 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 1480171728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194671040).

1480171728 is an abundant number, since it is smaller than the sum of its proper divisors (2909170352).

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

1480171728 is a wasteful number, since it uses less digits than its factorization.

1480171728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19484 (or 19478 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 39.

The square root of 1480171728 is about 38472.9999870039. Note that the first 4 decimals coincide. The cubic root of 1480171728 is about 1139.6479183583.

The spelling of 1480171728 in words is "one billion, four hundred eighty million, one hundred seventy-one thousand, seven hundred twenty-eight".