2928672 has 36 divisors (see below), whose sum is σ = 8329230. Its totient is φ = 976128.

The previous prime is 2928647. The next prime is 2928677. The reversal of 2928672 is 2768292.

It can be written as a sum of positive squares in only one way, i.e., 1838736 + 1089936 = 1356^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a d-powerful number, because it can be written as 2⁷ + 9 + 2²⁰ + 8² + 6⁵ + 7⁷ + 2²⁰ .

It is not an unprimeable number, because it can be changed into a prime (2928677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4797 + ... + 5372.

2^2928672 is an apocalyptic number.

It is an amenable number.

2928672 is an abundant number, since it is smaller than the sum of its proper divisors (5400558).

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

2928672 is a wasteful number, since it uses less digits than its factorization.

2928672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10185 (or 10174 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2928672 is about 1711.3363199558. The cubic root of 2928672 is about 143.0727456824.

It can be divided in two parts, 2928 and 672, that added together give a square (3600 = 60²).

The spelling of 2928672 in words is "two million, nine hundred twenty-eight thousand, six hundred seventy-two".