2952728320 has 72 divisors (see below), whose sum is σ = 7158177936. Its totient is φ = 1166819328.

The previous prime is 2952728297. The next prime is 2952728321. The reversal of 2952728320 is 238272592.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2952728321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92344 + ... + 120136.

It is an arithmetic number, because the mean of its divisors is an integer number (99419138).

Almost surely, 2^2952728320 is an apocalyptic number.

2952728320 is a gapful number since it is divisible by the number (20) 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 2952728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579088968).

2952728320 is an abundant number, since it is smaller than the sum of its proper divisors (4205449616).

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

2952728320 is an equidigital number, since it uses as much as digits as its factorization.

2952728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27897 (or 27883 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 2952728320 is about 54339.0128728890. The cubic root of 2952728320 is about 1434.6341453421.

The spelling of 2952728320 in words is "two billion, nine hundred fifty-two million, seven hundred twenty-eight thousand, three hundred twenty".