2631728 has 40 divisors (see below), whose sum is σ = 5862720. Its totient is φ = 1131840.

The previous prime is 2631701. The next prime is 2631731. The reversal of 2631728 is 8271362.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2631728.

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, 2951 + ... + 3737.

It is an arithmetic number, because the mean of its divisors is an integer number (146568).

2^2631728 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 2631728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931360).

2631728 is an abundant number, since it is smaller than the sum of its proper divisors (3230992).

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

2631728 is a wasteful number, since it uses less digits than its factorization.

2631728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 819 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 2631728 is about 1622.2601517636. The cubic root of 2631728 is about 138.0639625075.

It can be divided in two parts, 263 and 1728, that added together give a palindrome (1991).

The spelling of 2631728 in words is "two million, six hundred thirty-one thousand, seven hundred twenty-eight".