2642728 has 32 divisors (see below), whose sum is σ = 5508000. Its totient is φ = 1178560.

The previous prime is 2642713. The next prime is 2642771. The reversal of 2642728 is 8272462.

It is a super-2 number, since 2×2642728² = 13968022563968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2642728.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4938 + ... + 5446.

It is an arithmetic number, because the mean of its divisors is an integer number (172125).

2^2642728 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 2642728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754000).

2642728 is an abundant number, since it is smaller than the sum of its proper divisors (2865272).

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

2642728 is a wasteful number, since it uses less digits than its factorization.

2642728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 581 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 2642728 is about 1625.6469481410. The cubic root of 2642728 is about 138.2560533501.

It can be divided in two parts, 264 and 2728, that added together give a palindrome (2992).

The spelling of 2642728 in words is "two million, six hundred forty-two thousand, seven hundred twenty-eight".