2879928 has 64 divisors (see below), whose sum is σ = 8160000. Its totient is φ = 940896.

The previous prime is 2879927. The next prime is 2879971. The reversal of 2879928 is 8299782.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2879927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14373 + ... + 14571.

It is an arithmetic number, because the mean of its divisors is an integer number (127500).

2^2879928 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 2879928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080000).

2879928 is an abundant number, since it is smaller than the sum of its proper divisors (5280072).

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

2879928 is a wasteful number, since it uses less digits than its factorization.

2879928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 2879928 is about 1697.0350615117. The cubic root of 2879928 is about 142.2745465386.

The spelling of 2879928 in words is "two million, eight hundred seventy-nine thousand, nine hundred twenty-eight".