2928 has 20 divisors (see below), whose sum is σ = 7688. Its totient is φ = 960.

The previous prime is 2927. The next prime is 2939. The reversal of 2928 is 8292.

It can be divided in two parts, 292 and 8, that added together give a triangular number (300 = T_{24}).

2928 is nontrivially palindromic in base 11.

2928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (288) is a multiple of the sum of its prime factors (72).

2928 is a nontrivial repdigit in base 11.

It is a plaindrome in base 11.

It is a nialpdrome in base 11 and base 16.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18 + ... + 78.

2^{2928} 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 2928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844).

2928 is an abundant number, since it is smaller than the sum of its proper divisors (4760).

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

2928 is a wasteful number, since it uses less digits than its factorization.

2928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 66 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 2928 is about 54.1109970339. The cubic root of 2928 is about 14.3061801901.

The spelling of 2928 in words is "two thousand, nine hundred twenty-eight".

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.043 sec. • engine limits •