2978928 has 60 divisors (see below), whose sum is σ = 8453328. Its totient is φ = 979200.

The previous prime is 2978923. The next prime is 2978933. The reversal of 2978928 is 8298792.

2978928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2978923) and next prime (2978933).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19653 + ... + 19803.

2^2978928 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 2978928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226664).

2978928 is an abundant number, since it is smaller than the sum of its proper divisors (5474400).

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

2978928 is a wasteful number, since it uses less digits than its factorization.

2978928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 293 counting only the distinct ones).

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

The square root of 2978928 is about 1725.9571257711. The cubic root of 2978928 is about 143.8864846133.

The spelling of 2978928 in words is "two million, nine hundred seventy-eight thousand, nine hundred twenty-eight".