2641328928 has 216 divisors, whose sum is σ = 9198418320. Its totient is φ = 714873600.

The previous prime is 2641328891. The next prime is 2641328941. The reversal of 2641328928 is 8298231462.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 263203 + ... + 273053.

It is an arithmetic number, because the mean of its divisors is an integer number (42585270).

Almost surely, 2^2641328928 is an apocalyptic number.

2641328928 is a gapful number since it is divisible by the number (28) 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 2641328928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599209160).

2641328928 is an abundant number, since it is smaller than the sum of its proper divisors (6557089392).

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

2641328928 is a wasteful number, since it uses less digits than its factorization.

2641328928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9900 (or 9882 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2641328928 is about 51393.8608006832. The cubic root of 2641328928 is about 1382.3165125281.

The spelling of 2641328928 in words is "two billion, six hundred forty-one million, three hundred twenty-eight thousand, nine hundred twenty-eight".