2928960 has 140 divisors (see below), whose sum is σ = 10511028. Its totient is φ = 774144.

The previous prime is 2928953. The next prime is 2928967. The reversal of 2928960 is 698292.

It is an interprime number because it is at equal distance from previous prime (2928953) and next prime (2928967).

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 2509056 = 648^2 + 1584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25864 + ... + 25976.

2^2928960 is an apocalyptic number.

2928960 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 2928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255514).

2928960 is an abundant number, since it is smaller than the sum of its proper divisors (7582068).

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

2928960 is a wasteful number, since it uses less digits than its factorization.

2928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2928960 is about 1711.4204626567. The cubic root of 2928960 is about 143.0774353620.

The spelling of 2928960 in words is "two million, nine hundred twenty-eight thousand, nine hundred sixty".