2968728 has 64 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 825600.

The previous prime is 2968717. The next prime is 2968733. The reversal of 2968728 is 8278692.

It is a happy number.

It is a Cunningham number, because it is equal to 1723²-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁷ + 9³ + 6⁶ + 8 + 7⁷ + 2²¹ + 8³ .

It is a self number, because there is not a number n which added to its sum of digits gives 2968728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6673 + ... + 7103.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

2^2968728 is an apocalyptic number.

2968728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2968728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2968728 is an abundant number, since it is smaller than the sum of its proper divisors (5740392).

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

2968728 is a wasteful number, since it uses less digits than its factorization.

2968728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 484 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 2968728 is about 1722.9997098084. Note that the first 3 decimals coincide. The cubic root of 2968728 is about 143.7220719531.

The spelling of 2968728 in words is "two million, nine hundred sixty-eight thousand, seven hundred twenty-eight".