3128825460 has 96 divisors (see below), whose sum is σ = 8935113600. Its totient is φ = 817827840.

The previous prime is 3128825419. The next prime is 3128825471. The reversal of 3128825460 is 645288213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1446780 + ... + 1448940.

It is an arithmetic number, because the mean of its divisors is an integer number (93074100).

Almost surely, 2^3128825460 is an apocalyptic number.

3128825460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3128825460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467556800).

3128825460 is an abundant number, since it is smaller than the sum of its proper divisors (5806288140).

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

3128825460 is a wasteful number, since it uses less digits than its factorization.

3128825460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 3128825460 is about 55935.9049269787. The cubic root of 3128825460 is about 1462.6051971960.

The spelling of 3128825460 in words is "three billion, one hundred twenty-eight million, eight hundred twenty-five thousand, four hundred sixty".