2672928 has 36 divisors (see below), whose sum is σ = 7601958. Its totient is φ = 890880.

The previous prime is 2672921. The next prime is 2672947. The reversal of 2672928 is 8292762.

It can be written as a sum of positive squares in only one way, i.e., 1774224 + 898704 = 1332^2 + 948^2 .

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 2¹⁹ + 6⁶ + 7 + 2²⁰ + 9³ + 2²⁰ + 8⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 2672892 and 2672901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672921) 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, 4353 + ... + 4928.

2^2672928 is an apocalyptic number.

It is an amenable number.

2672928 is an abundant number, since it is smaller than the sum of its proper divisors (4929030).

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

2672928 is a wasteful number, since it uses less digits than its factorization.

2672928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9297 (or 9286 counting only the distinct ones).

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

The square root of 2672928 is about 1634.9091717891. The cubic root of 2672928 is about 138.7807041862.

It can be divided in two parts, 2672 and 928, that added together give a square (3600 = 60²).

The spelling of 2672928 in words is "two million, six hundred seventy-two thousand, nine hundred twenty-eight".